Question

6a-5b=-8

2a+5b=-16

solve the system of equations!! show your work :)

Answer 1

A=2 B=4

Explanation:

Answer 2

(a, b) = (-3, -2)

Explanation:

You want to solve the system of equations ...

• 6a -5b = -8
• 2a +5b = -16

Elimination

We notice the coefficients of b are opposites, so adding the two equations will eliminate b:

(6a -5b) +(2a +5b) = (-8) +(-16)

8a = -24 . . . . . . . . simplify

a = -3 . . . . . . . . . divide by 8

Substituting this value into the second equation, we have ...

2(-3) +5b = -16

5b = -10 . . . . . . . . . . add 6

b = -2 . . . . . . . . . divide by 5

The solution is a=-3, b=-2.

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Additional comment

The attached graph solves the equations using a=x, b=y.