Solve the system of equations using elimination.

\[
5x + 6y = 50
\]
\[
-x + 6y = 26
\]

Multiply one of the equations by -1 5x+6y=50 -1(-x+6y=26) =x-6y=-26 Cancel out the 6y's add the rest 6x=24 X=4 Substitute x back into the original -(4)+6y=26 -4+6y=26 6y=30 Y=5 Get the point (4,5)

Answered by kbar043 | 2024-06-10

5x+6y=50 -x+6y=26
Make the second problem and multiply everything by -1
5x+6y=50 -1(-x+6y=26) X-6y=-26 Eliminate the y and combine evrything 6x=24 Divide 6 both sides X=4 Then substitute the x -(4)+6y=50 -4+6y=50 Add 4 both sides 6y=54 Divide 6 and y=9 x=4

Answered by mechal719 | 2024-06-10

By using the elimination method with the given equations, we found that x = 4 and y = 5 . Thus, the solution to the system is the point ( 4 , 5 ) . This means that both original equations are satisfied with these values.
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Answered by kbar043 | 2024-10-01