Answer:
(1,4)
Step-by-step explanation:
Solve top equation for x:
x = 5 – y
Sub into bottom equation:
–3(5 – y) + 2y = 5
–15 + 3y + 2y = 5
5y = 20
y = 4
Backsolve in top equation:
x + 4 = 5
x = 1
Answer: (x, y) = (1, 4)
The solution to the given system of equation is (1, 4)
System of equations are equations made up of several equations and unknowns. Given the following equations:
x + y = 5
–3x + 2y = 5
Using substitution method
Fro equation 1, x = 5 - y
Substitute into 2
-3(5-y) + 2y = 5
-15 + 3y + 2y =5
5y = 20
y = 4
Substitute y = 4 into x = 5 - y
x = 5 - 4
x = 1
Hence the solution to the given system of equation is (1, 4)
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