Question

Y= 5x -7 -3x -2y= -12

Answer 1

`y=5x-7`
`-3x-2y=-12`

To find the solutions by substitution:

1. Clear a variable (x or y) in one of the equations:

As in the first equation the variable y is clear you don't need to clear a variable.

2. Substitute the value of the clear variable in the other equation:

`-3x-2(5x-7)=-12`

3. Make operations:

`-3x-10x+14=-12`
`-13x+14=-12`

4. Clear the variable x:

5. Subtitute the value of the x in the first equation to find the value of y:

`y=5(2)-7`
`y=10-7=3`

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Then so, the value of the variables in the given system of equations is:y=3x=2