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3 years ago

Solve the system of equations by substituion, -5x + y = 3 7.5x - 1.5y = 3

1 answer:

5 0

The first equation, make the y as the subject. y = 3 + 5x, then substitute y in the second equation and you will get the value of x. then, substitute the x in the first equation (y = 3 + 5x)

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2 years ago

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ololo11 [35]

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3 years ago

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I need help with which equations represents proportional relationships

OLga [1]

Answer:

x=1/4y

Step-by-step explanation:

Step 1: You flip the equation

4x=y

Step 2: Divide both sides by 4

4x/4 = y/4

x=1/4y

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3 years ago

2/3x + 1/6 = -3/4x + 1

kupik [55]

$\frac{2}{3} x + \frac{1}{6} = -\frac{3}{4} x + 1$

First, simplify $\frac{2}{3} x$ to $\frac{2x}{3}$ / Your problem should look like: $\frac{2x}{3} + \frac{1}{6} = -\frac{3}{4} x + 1$
Second, simplify $\frac{3}{4} x$ to $\frac{3x}{4}$ / Your problem should look like: $\frac{2x}{3} + \frac{1}{6} = -\frac{3x}{4} + 1$
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like: $8x + 2 = -9x + 12$
Fourth, subtract 2 from both sides. / Your problem should look like: $8x = -9x + 12 - 2$
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like: $8x = -9x + 10$
Sixth, add 9x to both sides. / Your problem should look like: $8x + 9x = 10$
Seventh, add 8x + 9x to get 17x. / Your problem should look like: $17x = 10$
Eighth, divide both sides by 17. / Your problem should look like: $x = \frac{10}{17}$

Answer as fraction: x = $\frac{10}{17}$
Answer as decimal: x = 0.5882

7 0

2 years ago

A real estate broker's base salary is $18,000. She earns a 4% commission on total sales. How much must she sell to earn $55,000

evablogger [386]

The salary of the real estate broker = $18,000

Commission earned on total sales = 4% or 0.04

Total income earnings = $55,000

Let the total sales be = x

Equation becomes :

$18000+0.04x=55000$