What is the solution to the following system of equations? x − 3y = 6 2x + 2y = 4

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MathNerd6707 MathNerd6707 · Answer 1 · 2020-04-07T17:53:14+02:00

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

( 3 , − 1 )

Equation Form:

x = 3 , y = − 1

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ap8997154 ap8997154 · Answer 2 · 2022-07-16T09:01:20+02:00

An equation is formed of two equal expressions. The solution to the given system of equations is (-1,3).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Solve the first equation for x.

x − 3y = 6

x = 6 + 3y

Substitute the value of x from the above in the second equation.

2(6 + 3y) + 2y = 4

12 + 6y + 2y = 4

8y = -8

y = -1

Substitute the value of y in any one of the equations.

x = 6 + 3y

x = 6 + 3(-1)

x = 3

Hence, the solution to the given system of equations is (-1,3).

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