Question

2x+5y=-55 y=3x+6 What is the solution

Answer 1

Hey there!!

We have 2 equations.

... 2x+5y=-55 and y=3x+6

Substitution method:

... 2x+5(3x+6)=-55

... 2x+15x+30=-55

... 17x+30=-55

Subtracting 30 on both sides:

... 17x=-55-30

... 17x=-85

Dividing by 17 on both sides:

... x=-85/17

... x = -5

The value of x is -5.

We have:

... 2x+5y=-55

... 2(-5)+5y=-55

... -10+5y=-55

Adding by 10 on both sides:

... 5y=-55+10

... 5y=-45

Dividing by 5 on both sides:

... y=-9

Hence, the value of 'x' is -5 and the value of 'y' is -9.

Hope my answer helps!

Answer 2

Let: eq 1:2x+5y=-55
eq 2:y=3x+6
by substituting eq 2 in eq 1 we get,
2x+5(3x+6)=-55
2x+15x+30+55=0
17x + 85=0
x=-85/17
x=-5
By substituting x value in eq 2,
we have,
y=3(-5)+6=-15+6=-9