Solve the system of equations below. 2x - 3y = 2
4x - y = 10
A
(7,4)
B
(5,2)
С
No solution
D
Infinitely many solutions

none

Step-by-step explanation

A. 2x-3y=2

B. 4x-y=10

Okay.

2(7)-3(4)=2 ⇒ 14-12=2

not correct, 4(7)-(4)=10 ⇒ 28-4=24

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2(5)-3(2)= 10-6=4 not 2, incorrect

4(5)-2=10 ⇒20-2=18 incorrect.

Answer A, B, C and D are incorrect. They didn't give you the correct equations or answers. Heres why

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A. 2x-3y=2

B. 4x-y=10

1. neither equation contains an isolated variable (aka, y=x+2, y is the isolated variable). However, we can isolate -y in equation B by subtracting -4x on both sides.

Ending up with -y=10-4x

     Now I like to change -y into y and it's very easy. All you need to do is:

      Remember:

Ending up with y=-10+4x

2.Now, we can plug the expression (a phrase) -10+4x into equation A as a substitute for y and solve for x.

3. Solve for y.

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No solution

3≠5

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Infinitely Many Solutions

3=3