Solve the system of equations and choose the correct ordered pair. 3y=4x+7 and 5y=4x+25
2 answers:
Answer:
(5,9)
Step-by-step explanation:
3y=4x+7
5y=4x+25
Subtract the two equations to eliminate x
5y=4x+25
-( 3y=4x+7)
------------------
2y = 0x +18
Divide by 2
2y/2 = 18/2
y =9
Now find x
3y = 4x+7
3*9 = 4x+7
27 = 4x+7
Subtract 7
20 = 4x
Divide 4
20/4 = 4x/4
5 =x
(5,9)
Step-by-step explanation:
3y=4x+7_equation 1
5y=4x+25_equation 2
multiply equation 1 by 5 an equation 2 by 3
15y=20x+35_equation 3
15y=12x+75_equation 4
subtract equations 4 from equation 3
0=8x-40
40=8x
divide both sides by 8
x=5
substitute x into equation 1
3y=4(5)+7
3y=20+7
3y=27
divide both sides by 3
y=9
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