Answer:
(-4, 5)
Step-by-step explanation:
Hi there!
We are given the following system:
x+11y=51
3x+5y=13
And we want to solve it by substitution.
When we solve a system by substitution, we want to solve one of the equations for a variable; the variable should equal an expression containing the other variable. Then, we substitute that expression into the other equation as the variable we solve for, solve for that variable, and then use the value of the solve variable to find the value of the first variable
It's easier to solve for a variable if the leading coefficient in front of that variable is 1, like with x in the first equation (x+11y=51)
To solve this equation for x, we can subtract 11y from both sides.
x+11y=51
-11y -11y
_____________
x=51-11y
Now substitute 51-11y as x in 3x+5y=13:
3(51-11y)+5y=13
Multiply
153-33y+5y=13
Combine like terms.
153-28y=13
Subtract 153 from both sides
-28y=-140
Divide both sides by 28
y=5
Now substitute 5 as y in 51-11y to solve for x.
x=51-11y
x=51-11(5)
multiply
x=51-55
Subtract
x=-4
The answer is x=-4, y=5, or as a point, (-4, 5)
Hope this helps!
See more on solving systems of equations by substitution here: https://brainly.com/question/26578968
