Question

Solve by the linear combination method (with or without multiplication).

Answer 1

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Answer 2

where are you stuck?

Answer 3

i dont know how to solve it

Answer 4

multiple both sides of the first equation by 0.08, what do you get?

Answer 5

0.08x + 0.08x(0.03y)?

Answer 6

I am really not sure

Answer 7

or is it 0.08x and 0.08xy

Answer 8

@phi please rescue me

Answer 9

x+y= 40
multiply both sides and all terms by 0.08
that means write 0.08 next to each term,
can you do that ?

Answer 10

Use the substitution method?

x + y = 40

Subtract y to both sides:

x = -y + 40

Now substitute -y + 40 in for x in the 2nd equation:

0.08x + 0.03y = 1.7

0.08(-y + 40) + 0.03y = 1.7

Distribute 0.08 into the parenthesis:

-0.08y + 3.2 + 0.03y = 1.7

Simplify -0.08y + 0.03y:

-0.05y + 3.2 = 1.7

Subtract 3.2 to both sides, what's 1.7 - 3.2?

Answer 11

-1.5

Answer 12

Yep, that gives us:

\(-0.05y = -1.5\)

Now divide -0.05 to both sides, what's -1.5 / -0.05?

Answer 13

I think the answer is 10,30

Answer 14

You're correct!

-1.5 / -0.05 = 30.

So that gives us:

y = 30

So the y-value is 30. and option C is the only one that has 'y' with 30.

Answer 15

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