Solve the following system of Linear Equations. Verify your solution.
4x + 3y = 13
5x + y – 8 = 0
Solve the following system of Linear Equations. Verify your solution.
4x + 3y = 13
5x + y – 8 = 0
Solve the following system:
{4 x+3 y = 13 | (equation 1)
-8+5 x+y = 0 | (equation 2)
Express the system in standard form:
{4 x+3 y = 13 | (equation 1)
5 x+y = 8 | (equation 2)
Swap equation 1 with equation 2:
{5 x+y = 8 | (equation 1)
4 x+3 y = 13 | (equation 2)
Subtract 4/5 × (equation 1) from equation 2:
{5 x+y = 8 | (equation 1)
0 x+(11 y)/5 = 33/5 | (equation 2)
Multiply equation 2 by 5/11:
{5 x+y = 8 | (equation 1)
0 x+y = 3 | (equation 2)
Subtract equation 2 from equation 1:
{5 x+0 y = 5 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 1 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: |
| {x = 1
y = 3
Solve the following system of Linear Equations. Verify your solution.
4x + 3y = 13
5x + y – 8 = 0
Solve the following system:
{4 x+3 y = 13 | (equation 1)
-8+5 x+y = 0 | (equation 2)
Express the system in standard form:
{4 x+3 y = 13 | (equation 1)
5 x+y = 8 | (equation 2)
Swap equation 1 with equation 2:
{5 x+y = 8 | (equation 1)
4 x+3 y = 13 | (equation 2)
Subtract 4/5 × (equation 1) from equation 2:
{5 x+y = 8 | (equation 1)
0 x+(11 y)/5 = 33/5 | (equation 2)
Multiply equation 2 by 5/11:
{5 x+y = 8 | (equation 1)
0 x+y = 3 | (equation 2)
Subtract equation 2 from equation 1:
{5 x+0 y = 5 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 1 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: |
| {x = 1
y = 3
