Solve the system of equations and choose the correct ordered pair. 5x+2y= 19 4x - 3y - 6 A (3,5) B. (5-3) C. (5,3) D. (3,2)
2 answers:
Answer:
(3,2)
Step-by-step explanation:
5x+2y= 19
4x - 3y = 6
I will use elimination
Multiply the first equation by 4
20x +8y = 76
Multiply the second equation by -5
-20x +15y = -30
Add them together to eliminate x
20x +8y = 76
-20x +15y = -30
---------------------------
23y = 46
Divide by 23
23y/23 = 46/23
y =2
Now find x
5x+2y =19
Substitute y=2
5x+2(2) =19
5x+4 = 19
Subtract 4 from each side
5x +4-4 =19-4
5x= 15
Divide by 5
5x/5 = 15/5
x=3
The solution is
(3,2)
Answer:
D. (3,2)
Step-by-step explanation:
Firstly, eliminate a variable:
3(5x+2y = 19 )
2(4x-3y = 6)
Now, plug this value back into one of the equations to get y:
5(3)+2y = 19
15+2y = 19
-15 -15
2y = 4
/2 /2
y = 2
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