Use Cramers method to solve:
0.5p + 0.75h = 765
0.25p + h = 745
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
0.5p + 0.75h = 765
a = 0.5, b = 0.75, c = 765
Find d, e, f in dx + ey = f
0.25p + h = 745
d = 0.25, e = 1, f = 745
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (0.5 * 1) - (0.75 * 0.25)
Δ = 0.5 - 0.1875
Δ = 0.3125
Step 2, calculate the numerator for p
Numerator(p) = c * e - b * f
Numerator(p) = (765 * 1) - (0.75 * 745)
Numerator(p) = 765 - 558.75
Numerator(p) = 206.25
Step 3, calculate the numerator for h
Numerator(h) = a * f - c * d
Numerator(h) = (0.5 * 745) - (765 * 0.25)
Numerator(h) = 372.5 - 191.25
Numerator(h) = 181.25
Evaluate and solve:
| p = | Numerator(p) | |
| Δ |
| p = | 206.25 | |
| 0.3125 |
p = 660
| h = | Numerator(h) | |
| Δ |
| h = | 181.25 | |
| 0.3125 |
h = 580
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.
