Solve y= -2x + 9 y= 4x -3

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Question:

Solve
y= -2x + 9
y= 4x -3

y = -2x + 9

y = 4x – 3

y is isolated in both equations, thus you may set the expressions (-2x + 9) and (4x – 3) equal to each other and solve for x.

-2x + 9 = 4x – 3

Subtract 9 from both sides.

-2x + 9 – 9 = 4x – 3 – 9

-2x = 4x – 12

Subtract 4x from both sides.

-2x – 4x = 4x – 12 – 4x

-6x = -12

Divide both sides by -6.

-6x/-6 = -12/-6

x = 2

Substitute 2 for x into one of the original equations to find y.

y = 4x – 3 (given)

y = 4(2) – 3 (substitute)

y = 8 – 3 (multiply)

y = 5 (subtract)

Plug x- and y-values into original equations to check work.

5 = -2(2) + 9

5 = – 4 + 9

5 = 5

5 = 4(2) – 3

5 = 8 – 3

5 = 5

x = 2 and y = 5; (2, 5).

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