How many solutions does the system have?
2 answers:
Answer:
x= -9/7
y= -38/7
so it has A. exactly one solution
Step-by-step explanation:
Substitute into one of the equations: 5x+1= -2x-8
Rearrange unknown terms to the left side of the equation: 5x+2x=-8-1
Combine like terms:7x=-8-1
Calculate the sum or difference: 8x=-9
Divide both sides of the equation by the coefficient of variable: x=-9/7
Substitute into one of the equations:y=-2×(-9/7)-8
Write as a single fraction:y=2×9/7-8
Calculate the product or quotient:y=18/7 -8
Convert the expression into a fraction: y=18/7 -8/1
Expand the fraction to get the least common demominator:y=18/7-8x7/1x7
Calculate the product or quotient: y=18/7-56/7
Write the numerators over common denominator:y=18-56/7
Calculate the sum or difference: y=-38/7
Rewrite the fraction: y= -38/7
The solution of the system is:
x= -9/7
y= -38/7
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