Question

-13x=90-2y
-6x=48-2y

Answer 1

The solution to the system of equations is x = 6 and y = 84.

Step-by-step explanation:

The given equations are:

-13x = 90 - 2y

-6x = 48 - 2y

To find the values of x and y, we can solve the system of equations. We can start by multiplying the second equation by -2 to eliminate the y variable. This gives us:

12x = -96 + 4y

Now we have two equations:

-13x = 90 - 2y

12x = -96 + 4y

We can add the two equations together:

-13x + 12x = 90 - 2y + (-96 + 4y)

-x = -6

Then, we can divide both sides of the equation by -1 to solve for x:

x = 6

Substituting the value of x back into one of the original equations, we can solve for y. Let's use the first equation:

-13(6) = 90 - 2y

-78 = 90 - 2y

-2y = -168

y = 84

Therefore, the solution to the system of equations is x = 6 and y = 84.

Answer 2

While it's pretty obvious to most of us that

-13x=90-2y

-6x=48-2y

is a system of linear equations, it'd be well to include that info plus the instructions "solve this system of linear equations."

Subtract the 2nd equation from the first:

-13x=90-2y

+6x=-48+2y

-----------------------

-7x = 42. Then x = -42/7, or x = 6.

Now subst. 6 for x in either one of the given equations. Suppose we use the 2nd equation:

-6x=48-2y

Then -6(6)=48-2y, or -36 = 48 - 2y, or 2y = 48+ 36 = 84. Then y = 42.

The solution is (6, 42).