Question

Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.

5x+2y=21
-2x+6y=-34

...?

Answer 1

The y-coordinate of the solution would be
`-(64)/(17)`

Explanation:

Given system of equations,

5x+2y = 21 ----------(1)

-2x+6y = -34 ---------(2),

2 × Equation (1) + 5 × Equation (1),

We get,

4y + 30y = 42 - 170

34y = -128

`\implies y = -(128)/(34)=-(64)/(17)`

Answer 2

lets try substitution5x+2y=21=5x=21-2y=x=(21-2y)/5

sub into second equation

-2(21-2y)/5+6y=-34(-42+4y)/5+6y=-34solve for yy=-64/17plug into equation and solve for x=(97/17)