To solve the given set of equations A. we multiply the first equation by -7 and then add the two equations.
Step-by-step explanation:
Step 1:
[tex]x+y=5,[/tex] take this as equation 1,
[tex]7x+8y=37,[/tex] take this as equation 2.
If we multiply equation 1 with -7 and add the resulting equation with equation 2, we can eliminate the x variable and determine the value of y.
[tex]-7(x+y)= -7(5), -7x-7y=-35,[/tex] take this as equation 3.
Step 2:
Adding equation 2 and 3 we get
[tex]y =2.[/tex]
Now, we substitute the value of y in any of the previous equations to determine the value of x.
If we substitute [tex]y =2[/tex] in equation 1, we get
[tex]x+y=5, x+2 =5, x=3.[/tex]
So for the given set of equations, [tex]x=3[/tex] and [tex]y=2.[/tex]
So to solve the given set of equations, we multiply the first equation by -7 and then add the two equations.
