Answer:
(5, -3)
Step-by-step explanation:
Hi there!
We are given the following system of equations:
7x+6y=17
x-y=8
And we want to solve it by substitution
In substitution, we will solve one of the equations for one of the variables to equal an expression containing the other variable, then substitute that expression as the variable it equals into the other equation, solve that equation, then use the value of the solved variable to solve for the first equation we made (the one that is a variable equaling an expression containing the other variable)
It is easier to solve an equation for a variable if the leading coefficient in front of one of the variables is 1
For example, x and y in x-y=8
We can solve for x for example in that equation; add y to both sides
x-y=8
+y +y
________________
x=y+8
now substitute y+8 as x in 7x+6y=17:
7(y+8)+6y=17
Do the distributive property.
7y+56+6y=17
Add 7y and 6y together
13y+56=17
Subtract 56 from both sides
13y=-39
Divide both sides by 13
y=-3
Now substitute -3 as y in x=y+8 to solve for x.
x=-3+8
x=5
The answer is x=5, y=-3, or as a point, (5, -3)
Hope this helps!
See more on solving systems by substitution here: https://brainly.com/question/26686617
