y=x-7
2x+y=8
2x+(x-7)=8 you have to substite the equation for y into the problem
It does not really matter so long as what used to read as having two variable letters gets knocked down to one variable letter. You can either describe x in terms of y or y in terms of x. Plug and chug, then solve with algebraic maneuvers.
6x + 3y = -6
2x + y = -2
To solve this system of equations, we can use the method of substitution. Let's start by solving the first equation, y = x - 7.
Now, substitute this expression for y in the second equation:
2x + (x - 7) = 8
Simplify the equation:
2x + x - 7 = 8
Combine like terms:
3x - 7 = 8
Add 7 to both sides of the equation:
3x = 8 + 7
3x = 15
Divide both sides by 3:
x = 15/3
x = 5
Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. Let's use the first equation:
y = x - 7
y = 5 - 7
y = -2
So, the solution to the system of equations is x = 5 and y = -2.