Answer:
(6,4)
Step-by-step explanation:
Step 1: Find a way to get X or Y by itself. (i choose to find x by itself)
Multiply the bottom equation by 3.5
5x+7y=58
10.5x+7y=91
Subtract 7y from both equations
5x=58
10.5x=91
Subtract 10.5 x from both equations
-5.5x=58
0x-91
Subtract 91 from both equations
-5.5x=-33
Multiply by -1 on both sides
5.5x=33
Divide by 5.5
x=6
Step 2: Now plug in 6 for x to solve
5(6)+7y=58
30+7y=58
Subtract 30 from both sides
7y=28
Divide by 7
y=4
Check other equation
3(6)+2y=26
18+2y=26
Subtract 18 from both sides
2y=8
Divide by 2
y=4
The point of intersection is (x,y), which is (6,4)
Hope this helps! Have an awesome weekend.
-nd23810
