Question

Solve the following system of equations.

3x + 2y - 5 = 0
x = y + 10

Make sure there are NO SPACES in your answer. Include a comma in your answer.

ANSWER: {(
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Answer 1

The solution is the point (5,-5)

Explanation:

we have

`3x + 2y - 5 = 0` -----> equation A

`x = y + 10` -----> equation B

Solve the system by substitution

substitute equation B in equation A

`3(y+10) + 2y - 5 = 0`

solve for y

`3y+30 + 2y - 5 = 0`

`5y=-25`

`y=-5`

Find the value of x

`x=5+ 10`

`x=5`

therefore

The solution is the point (5,-5)