Two brothers are saving money to buy a new game system. their combined savings is $85. one brother has $22 more than the other. how much has each brother saved? write an equation and solve it. show all of your work.

Let the two brothers be: x and y

Their combined savings is $85: x + y = 85

One brother (x), has $22 more than the other (y): x = 22 + y

Plug in 22 + y for x in the first equation

(22 + y) + y = 85

Combine like terms

2y + 22 = 85

Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

2y + 22 (-22) = 85 (-22)

2y = 85 - 22

2y = 63

Isolate the y. Divide 2 from both sides

2y/2 = 63/2

y = 63/2

y = 31.5

Plug in 31.5 for y in one of the equations

x = 22 + y

x = 22 + (31.5)

x = 53.5

One brother made $53.50, and the other made $31.50

hope this helps

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?

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