Solve by substitution-7x-2y=11X-2y=11

Question

HELP!!! 

Answer 1

The other answers are good, but I'll offer another approach and simplify y.

1. Solve for x

All 3 expressions are on the same line, so you have a major clue. Notice a pattern or similarity between two of the expressions?

There's a -2y in the first and second expression. This means the x term doesn't change the value of the expression!

So, x must be zero (x = 0)

2. Solve for y

Since x=0, we're left with -2y = 11

Divide 11 by -2, and you have -11/2

Remember to simplify! Many teachers take off points for leaving an improper fraction. Divide 11 by -2 and you have five and a half (5.5 or 5 1/2)

Hope this help you, Maddie!

Kat

Answer 2

Both of the polynomial pieces must be equal to 11.  Thus -7x-2y = 11 and 11x - 2y = 11.

Solve the second equation for -2y by subtracting 11 x from both sides and you have -2y =11+11x

Substitute this into the first equation where the -2y is and you have -7x + 11 + 11x = 11.

Combine terms to have 11 + 4x = 11

Subtract 11 from both sides and have 4x = 0 or x = 0

Substitute this into either original equation to solve for y. In either case -2y = 11 or and y = -11/2.

Answer 3

It is a little out of the ordinary for me to see an equation with two equal signs but if we look at the first part (-7x - 2y = 11x - 2y) we can see by adding 2y to both sides that x must equal zero. By substituting x = 0 into a second equation, let's use 11x - 2y = 11 we can get the value for y.