Standard equation 1 = ax + by = c and Standard equation 2 = dx + ey = f.
Find a, b, c in ax + by = c
x + y = 5
a = 1, b = 1, c = 5
Find d, e, f in dx + ey = f
5y + 4x = 37
d = 4, e = 5, f = 37
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 5) - (1 * 4)
Δ = 5 - 4
Δ = 1
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (5 * 5) - (1 * 37)
Numerator(x) = 25 - 37
Numerator(x) = -12
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (1 * 37) - (5 * 4)
Numerator(y) = 37 - 20
Numerator(y) = 17
Evaluate and solve:
x =
Numerator(x)
Δ
x =
-12
1
x = -12
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
17
1
y = 17
You have 2 free calculationss remaining
What is the Answer?
y = 17
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