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4 years ago

X=y+1400 0.08x+0.05=840

Mathematics

2 answers:

jeyben [28]4 years ago

6 0

Answer:

(7000,5600)

Step-by-step explanation:

mezya [45]4 years ago

3 0

Answer:

x = 7000

y = 5600

(7000, 5600)

Step-by-step explanation:

To solve the system of equations means to find the point of intersection (graphically). You are finding what value of 'x' and what value of 'y' fits both equations.

x = y + 1400

0.08x + 0.05y = 840

We can solve using the method substitution, where you replace a variable in one equation with an equivalent expression.

Since "x" is y + 1400, we can replace "x" in the second equation.

0.08x + 0.05y = 840

0.08(y + 1400) + 0.05y = 840

Distribute over brackets by multiplying 0.08 with y, then 0.08 with 1400.

0.08y + 112 + 0.05y = 840 Collect like terms (with "y" variable)

112 + 0.13y = 840

Now isolate "y" in the simplified equation.

112 - 112 + 0.13y = 840 - 112 Subtract 112 from both sides

0.13y = 728

0.13y/0.13 = 728/0.13 Divide both sides by 0.13

y = 5600 Solved for y

We can substitute "y" with 5600 in any other equation that has "x".

x = y + 1400

x = 5600 + 1400 Add

x = 7000 Solved for x

You may express the answer as a coordinate, or an ordered pair (x, y).

The solution is (7000, 5600).

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