7x-8y=1
5x+37=y
sub the second equation into the first:
7x - 8(5x+37) = 1
expand, simplify and solve
To solve the given system of equations:
First, substitute the value of y from the second equation into the first equation:
7x - 8(5x+37) = 1
Next, distribute -8 to the terms inside the parentheses:
7x - 40x - 296 = 1
Combine like terms:
-33x - 296 = 1
Add 296 to both sides of the equation:
-33x = 297
Finally, divide both sides by -33 to solve for x:
x = -9
To find the value of y, substitute the value of x into one of the original equations. Let's use the second equation:
5x + 37 = y
Substituting x = -9:
5(-9) + 37 = y
-45 + 37 = y
-8 = y
Thus, the solution to the system of equations is x = -9 and y = -8.