Answer:
x = 1 and y = 4
can be written (1, 4)
Explanation:
If the directions say to solve the system, or solve for x and y, then you can do the following:
Use substitution.
y = 7x - 3
y = -5x + 9
These are both equal to y, so we can set them equal to each other.
7x - 3 = -5x + 9
add 5x to both sides
12x - 3 = 9
add 3 to both sides
12x = 12
divide both sides by 12
x = 1
Put this information into one of the original equations (doing both is a good check, you should get the same answer both times)
y = 7x - 3
put x = 1 into the eq.
y = 7(1) - 3
y = 7 - 3
y = 4
check using the other equation
y = -5x + 9
put x = 1 in
y = -5(1) + 9
y = -5 + 9
y = 4
The solution to the system of equations is (1, 4)