Answer
Success!
a = 51 and s = 124
↓Steps Explained:↓
Use the substitution method to solve:
8a + 5s = 1028
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for a:
8a + 5s = 1028
Subtract 5s from both sides to isolate a:
8a + 5s - 5s = 1028 - 5s
8a = 1028 - 5s
Now divide by 8:
| 8a | |
| 8 |
| = |
| 1028 - 5s |
| 8 |
Plug Revised Equation 2 value into a:
1(a) + s = 175
1 * ((1028 - 5s)/8) + s = 175
((1028 - 5s)/8) + s = 175
Multiply equation 1 through by 8
8 * (((1028 - 5s)/8) + s = 175)
8 * (((1028 - 5s)/8) + s = 175)
1028 - 5s + 8s = 1400
Group like terms:
-5s + 8s = 1400 - 1028
3s = 372
Divide each side by 3
| 3s | |
| 3 |
| = |
| 372 |
| 3 |
| s = | 372 |
| 3 |
s = 124
Plug this answer into Equation 1
1a + 1(124) = 175
1a + 124 = 175
1a = 175 - 124
1a = 51
Divide each side by 1
| 1a | |
| 1 |
| = |
| 51 |
| 1 |
| a = | 51 |
| 1 |
a = 51
Take the Quiz Switch to Chat Mode
Related Calculators: Equation and Inequalities | Literal Equations | Find two numbers word problems
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.
