use substitution to solve this linear system:
8x + y = -458
-5x + 3y = 221
x=39.8
To solve this system of linear equations using substitution, follow these steps:
Step 1: Solve one equation for one variable in terms of the other variable.
From the first equation, let's solve for y:
8x + y = -458
y = -8x - 458
Step 2: Substitute the expression obtained in Step 1 into the other equation.
Substitute the value of y into the second equation:
-5x + 3(-8x - 458) = 221
Step 3: Simplify and solve for x.
-5x - 24x - 1374 = 221
-29x - 1374 = 221
-29x = 221 + 1374
-29x = 1595
x = 1595 / -29
x = -55
Step 4: Substitute the value of x back into one of the original equations to solve for y.
Using the first equation, substitute x = -55:
8(-55) + y = -458
-440 + y = -458
y = -458 + 440
y = -18
Step 5: Check your solution by substituting the values of x and y into the second equation.
-5(-55) + 3(-18) = 221
275 - 54 = 221
221 = 221
Therefore, the solution to the system of equations is x = -55 and y = -18.
from the first:
y = -458 - 8x
plug that into the second:
-5x + 3y = 221
-5x + 3(-458-8x) = 221
I will let you finish it,
once you find x, don't forget to find y from y = -458-8x