Answer:
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
