Use Cramers method to solve:
l + s = 125
3s + 5l = 475
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
l + s = 125
a = 1, b = 1, c = 125
Find d, e, f in dx + ey = f
3s + 5l = 475
d = 5, e = 3, f = 475
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 3) - (1 * 5)
Δ = 3 - 5
Δ = -2
Step 2, calculate the numerator for l
Numerator(l) = c * e - b * f
Numerator(l) = (125 * 3) - (1 * 475)
Numerator(l) = 375 - 475
Numerator(l) = -100
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (1 * 475) - (125 * 5)
Numerator(s) = 475 - 625
Numerator(s) = -150
Evaluate and solve:
| l = | Numerator(l) | |
| Δ |
| l = | -100 | |
| -2 |
l = 50
| s = | Numerator(s) | |
| Δ |
| s = | -150 | |
| -2 |
s = 75
Math is always fascinating! Have you noticed? On the path to discovering the ultimate mysteries of math, we move forward with small steps.
Many such discoveries of mathematical formulas validate the research efforts of those who came before us. If you want to inspire yourself and those around you, try making your own Custom Enamel Badges of achievement for small accomplishments.
These vivid pin badges can be a constant reminder that numbers aren't exactly cold and that they can always be accompanied by fun and hope.
