Use Cramers method to solve:
10x - 15y = - 70
3x - 5y = 15
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Set up standards equations
Standard equation 1 = ax + by = c and Standard equation 2 = dx + ey = f.
Find a, b, c in ax + by = c
10x - 15y = - 70
a = 10, b = -15, c = -70
Find d, e, f in dx + ey = f
3x - 5y = 15
d = 3, e = -5, f = 15
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (10 * -5) - (-15 * 3)
Δ = -50 - -45
Δ = -5
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (-70 * -5) - (-15 * 15)
Numerator(x) = 350 - -225
Numerator(x) = 575
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (10 * 15) - (-70 * 3)
Numerator(y) = 150 - -210
Numerator(y) = 360
Evaluate and solve:
| x = | Numerator(x) | |
| Δ |
| x = | 575 | |
| -5 |
x = -115
| y = | Numerator(y) | |
| Δ |
| y = | 360 | |
| -5 |
y = -72
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