Answer:
see explanation
Step-by-step explanation:
If (5, - 4) is a solution to the system then both equations will be true when (5, - 4) is substituted into them.
Substitute (5, - 4) into the left side of the equations and if equal to the right side then (5, - 4) is a solution.
3(5) - 2(- 4) = 15 + 8 = 23 = right side
2(5) + (- 4) = 10 - 4 = 6 = right side
Then (5, - 4) is a solution to the system of equations.
or by solving
3x - 2y = 23 → (1)
2x + y = 6 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the y- term
4x + 2y = 12 → (3)
Add (1) and (3) term by term to eliminate y, that is
7x = 35 ( divide both sides by 7 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (2)
2(5) + y = 6
10 + y = 6 ( subtract 10 from both sides )
y = - 4
Solution is (5, - 4 )
Using the concept of simultaneous equation, the solution to the system of equations is (5, - 4)
Given the system of linear equations :
From (2) :
Substitute (3) into (1)
3x - 2(6 - 2x) = 23
3x - 12 + 4x = 23
7x = 23 + 12
7x = 35
Divide both sides by 7 to isolate x
x = 35 / 7
x = 5
From (3)
y = 6 - 2(5)
y = 6 - 10
y = -4
Therefore, the solution to the system of equation is (5, - 4)
Learn more : https://brainly.com/question/15165519
