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

Answer:

The solution is the point (5,-5)

Step-by-step 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)