Karina uses the system of equations below to compare the monthly utility costs in july and december for electricity, x, and natural gas, y.

750x + 17y = 141.61
300x + 30y = 75.90
karina solves the system using linear combination and arrives at the equation 116y = 96.28. she then solves this equation for y. which statement explains karina’s solution?

a. the cost of electricity is $0.17 per unit.
b. the cost of natural gas is $0.20 per unit.
c. the cost of electricity is $0.72 per unit.
d. the cost of natural gas is $0.83 per unit.

D: The cost of natural gas is $0.83 per unit.

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step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?