Answer: Multiply the top equation by 6, multiply the bottom equation by -5, then add the equations
Step-by-step explanation:
For this case we have the following system of equations:
[tex]8x + 5y = -7\\-7x + 6y = -4[/tex]
If we want to solve the system by the "elimination" method, we must multiply some (or two) of the equations by a number such that when one is added, one of the variables is eliminated.
Multiplying by 6 the first equation we have:
[tex]48x + 30y = -42[/tex]
Multiplying by -5 second equation we have:
[tex]35x-30y = 20[/tex]
If we add both equations, the variable y is eliminated.
We can also multiply the first equation by 7:
[tex]56x + 35y = -49[/tex]
We multiply the second equation by 8:
[tex]-56x + 48y = -32[/tex]
Adding the equations eliminates the variable x.
Answer:
One strategy may be to multiply the first equation by 7, the second equation by 8 and add.
