NEED HELP ASAP. WILL GIVE 2. Solve system A by substitution. Solve system B by elimination.

A. {
x = 3y − 4
2x − y = 2

B. {
3x + 2y = 7
−x + y = −4

A. x = 2 and y =2

B. x = 3 and y = -1

Step-by-step explanation:

A. { x = 3y − 4

    2x − y = 2

1) Substitute the value of x

2(3y − 4) − y = 2

2) Solve the equation for y

y = 2

3) Substitute the value of y

x= 3(2) -4

4) Solve the equation for x

x = 2

Final Solution: x = 2 and y =2

B. { 3x + 2y = 7

     −x + y = −4

1) Multiply both sides of the equation by 3

-3x + 3y = -12

2) Eliminate one variable by adding the equations

  3x + 2y = 7

+ (−3x + 3y = −12)

   5y = -5

3) Divide both sides of the equation by 5

y = -1

4) Substitute the given value of y into the equation -x + y = -4

-x + (-1) = -4

5) Solve the equation for x

x = 3

Final Solution: x = 3 and y = -1

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step-by-step explanation:

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