Answer:
(3,5)
Step-by-step explanation:
To solve the system using the substitution method start by isolating one of the variables in the first equation.
4x+7y-7y=47 -7y
4x/ 4= (-7y+ 47)/4
x= -1.75y+ 11.75
Next, substitute x= -1.75y+ 11.75 into equation 2 replacing x.
5( -1.75y+ 11.75)-4y=-5
-8.75y+58.75 -4y=-5
-8.75y+58.75- 58.75 -4y=-5- 58.75
-8.75y-4y=-63.75
(-12.75y)/-12.75y =(-63.75)/-12.75y
y= 5
Last, substitute y=5 into equation 1 and solve.
4x+7(5)=47
4x+35-35=47-35
4x=12
x=3
