Step 1: Problem
Systems of equations
5x + y = 10 ---------------------------- 1
4x + y = 4 ----------------------------- 2
Step2: Concept
Use the substitution method to find x and y.
Step 3: Method
from equation 1, make y the subject of the formula
y = 10 - 5x
substitute in equation 2 to find x
4x + 10 - 5x = 4
4x - 5x = 4 - 10
-x = -6
x = 6
substitute x in equation 2 to find y
4x + y = 4
4(6) + y = 4
24 + y = 4
y = 4 - 24
y = - 20
Step 4: Final answer
x = 6 y = -20