Draw The Graphs Of 2x Y 6 And 2x Y 2 0 Shade The Region Bounded By These Lines And X Axis Find The Area Of The Shaded Region
Transcript Ex62, 2 Solve the given inequality graphically in twodimensional plane 2x y 6 2x y 6 Lets first draw graph of 2x y = 6 Drawing graph Checking for (0,0) Putting x = 0, y = 0 2x y 6 2(0) (0) 6 0 6 which is false So, we shade right side of line Hence origin does not lie in plane 3x 2y > 62 x y ≥ 6 3 x 4 y ≤ 1 2 Simplifying 2 x y ≥ 6 by substituting different values of x and y When x = 0, then, y = 6 When y = 0, then, x = 3 So, the coordinates are (0, 6) and (3, 0) Now, if x = 0 and y = 0, then, 0 ≥ 6 Which cannot be true, so the graph will be shaded away the origin Simplifying 3 x 4 y ≤ 1 2 by substituting different values of x and y When x = 0, then, y = 3
2x y=6 and 2x-y=2 solve graphically
2x y=6 and 2x-y=2 solve graphically-2(0) y = 6 y = 6 y = 6 The ordered pairs (3, 0) and (0, 6) are solutions of 2x y = 6 Graphing these points and connecting them with a straight line give us the graph of 2x y = 6 If the graph intersects the axes at or near the origin, the intercept method is not satisfactoryAnswer to Solve the following system by graphing 2x y = 6 y = 2x 8 By signing up, you'll get thousands of stepbystep solutions to your
Ex 3 2 4 Iii Check If Equations 2x Y 6 0 4x 2y 4 0
Solve graphically the system of equations 2x – 3y 6 = 0 2x 3y 18 = 0 Find the coordinates of the vertices of the triangle formed by these two lines and the yaxis solvingequations systemofequations functions math slopeinterceptform physics homeworkhelp trigonometricidentities integration substitutionmethod limits calculus 13,435 questions 17,804 answers 1,438 comments 138,956 users Draw the Graph of y=2x^2x6 0 votes a) find the y intercept b) find the X intercept c)Find the Vertex d)write x=2 and y = 2 Stepbystep explanation Im going to use GeoGebra for graphing the 2 lines I always find it helpful to move y to side of the equation and the rest of the equation to another side This is the slope intercept equation by the way We get our equations as y = 2x6 and y= 2x2 You can find that the common point is (2,2) between the lines
Graph 2xy=6 2x − y = 6 2 x y = 6 Solve for y y Tap for more steps Subtract 2 x 2 x from both sides of the equation − y = 6 − 2 x y = 6 2 x Multiply each term in − y = 6 − 2 x y = 6 2 x by − 1 1 Tap for more steps Multiply each term in − y = 6 − 2 x y = 6 2 x by − 1 1Divide both sides by − 2 \frac {2x} {2}=\frac {y6} {2} − 2 − 2 x = − 2 y − 6 Dividing by 2 undoes the multiplication by 2 Dividing by − 2 undoes the multiplication by − 2 x=\frac {y6} {2} x = − 2 y − 6 Divide y6 by 2 Divide y − 6 by − 2Given equation is 2x y =6Rightarrow y = 6 2x(i)If, x = 0, y = 6 2(0) =6x = 3, y = 6 2(3)=0x03y60PointsBAGiven equation is 2x y 2 =0Rightarrow y = 2 x 2 (ii)If, x = 0, y = 2(0) 2 = 0 2 =2x = 1, y = 2(1) 2 =0x01yPointsDCPlotting 2x y = 6 and 2x y 2= 0, as shown below, we obtain two lines AB and CD respectively intersecting at point, E (1, 4)Now, A1 =
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Solve the system of equations Equation 1 y=2x6 Equation 2 2xy=2 If Equation 2 is converted from standard form to slopeintercept form, you will see that both lines have the same slope, and are therefore parallel lines, and there is no solution Equation 2 2xy=2 Subtract 2x from both sides y=2x2 Divide both sides by 1 Solve graphically2x y = 6 asked in Mathematics by Douglas A (4, 5) B Infinitely many solutions C (5, 4) D No solution algebraandtrigonometry;
















































































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