Solve the system of equations using the substitutionmethod. If the answer is a u

Question

Solve the system of equations using the substitutionmethod. If the answer is a unique solution, present it as anordered pair: (x,y). If not, specify whether the answer is"no solution" or "infinitely many solutions" and state how youarrived at that conclusion. -7x + y = 4 2x + 8y = 0 Solve the system of equations using the substitutionmethod. If the answer is a unique solution, present it as anordered pair: (x,y). If not, specify whether the answer is"no solution" or "infinitely many solutions" and state how youarrived at that conclusion. -7x + y = 4 2x + 8y = 0

Explanation / Answer

Solve the system of equations using the substitutionmethod. If the answer is a unique solution, present it as anordered pair: (x,y). If not, specify whether the answer is"no solution" or "infinitely many solutions" and state how youarrived at that conclusion. -7x + y = 4 2x + 8y = 0

from the first
y=4+7x
substitute it into the second
2x+8(4+7x)=0
2x+32+56x=0
58x=-32
x=-32/58=-16/29

now plug this into the first one again

-7(-16/29)+y=4
112/29+y=4
y=4/29

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