Question

Y = 1.10x + 5.00 y = 1.50x + 3.00 (substitution)

Answer 1

Answer:

x=5 and y=10.5

Step-by-step explanation:

Answer 2

Solving the system of equations $y = 1.10x + 5.00\\y = 1.50x + 3.00$ we get x=5 and y=10.5

Step-by-step explanation:

We need to solve the system of equations by substitutions.

The system of equations given are:

$y = 1.10x + 5.00\\y = 1.50x + 3.00$

Let:

$y = 1.10 x+5.00\,\,eq(1)\\y = 1.50 x+ 3.00\,\,eq(2)$

Putting value of y from eq(2) into eq(1)

$1.50 x+ 3.00=1.10 x+5.00\\1.50 x-1.10 x=+5.00-3.00\\0.4x=2.00\\x=2.00/0.4\\x=5$

So, value of x=5

Now putting value of x in eq 1 to find value of y:

$y = 1.10x + 5.00$

$y = 1.10(5) + 5.00$

$y = 5.5 + 5.00$

$y = 10.5$

So, value of y is 10.5

Solving the system of equations $y = 1.10x + 5.00\\y = 1.50x + 3.00$ we get x=5 and y=10.5

Keywords: System of equations

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