Solve the system of equations:

\[ 6x + 7y = -9 \]
\[ -4x - 5y = 5 \]

{ 6 x + 7 y = − 9 − 4 x − 5 y = 5 ​ { 6 x = − 7 y − 9/ : 6 − 4 x − 5 y = 5 ​ { x = − 6 7 ​ y − 6 9 ​ − 4 x − 5 y = 5 ​ { x = − 6 7 ​ y − 2 3 ​ − 4 ∗ ( − 6 7 ​ y − 2 3 ​ ) − 5 y = 5 ​
{ x = − 6 7 ​ y − 2 3 ​ 3 14 ​ y + 6 − 5 y = 5 ​ { x = − 6 7 ​ y − 2 3 ​ 3 14 ​ y − 3 15 ​ y = 5 − 6 ​ { x = − 6 7 ​ y − 2 3 ​ − 3 1 ​ y = − 1/ ( − 3 ) ​
{ x = − 6 7 ​ ∗ 3 − 2 3 ​ y = 3 ​ { x = − 2 7 ​ − 2 3 ​ y = 3 ​ { x = − 2 10 ​ y = 3 ​ { x = − 5 y = 3 ​

Answered by Anonymous | 2024-06-10

-5y=4x+5 y=-4/5(x)-1
6x+7y=-9 6x+7(-4x/5-1)=-9 6x-28x/5-7=-9 2/5(x)=-2 multiply both sides by 5 2x=-10 x=-5
6x+7y=-9 -30+7y=-9 7y=21 Y=3

Answered by deathstrike001 | 2024-06-10

The solution to the system of equations is x = − 5 and y = 3 . We used the substitution method to solve for one variable and then substituted to find the value of the other. This method effectively simplifies the process of finding the solution.
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Answered by Anonymous | 2024-10-02