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mylen [45]
3 years ago
14

Solve the system. x+3y=7 2x-4y=24

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer:

y= -1 and x = 10

Step-by-step explanation:

(1) x+3y=7

(2) 2x-4y=24

Clear x from the 1st equation: x=7-3y

And replace x from the 2do one: 2(7-3y)-4y=24

14-6y-4y=24

-6y-4y=24-14

-10y=10

y=-10/10

y=-1

Now we have y=-1, let's finde x:

x=7-3y

x=7-3(-1)

x=7+3

x=10

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Eric, Shenna, and Yael are playing a game. Eric has half as many points as Shenna. Shenna has three fewer points than Yael. Alto
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Using algebraic equations, the number of points Yael has is calculated as: 29 points.

<h3>How to Use Algebraic Equations to Solve Word Problems?</h3>

In the given world problem, we known the following:

E = Eric

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Y = Yael

Their total points would be: E + S + Y = 68

S = 2(E) (Shenna has twice the points of Erik)

Y = S + 3 (Yael has three points more than Shenna)

We would therefore have the following algebraic equation:

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Substitute S with 2E

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Solve for E

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Y = S + 3 = 2E + 3

Plug in the value of E

Y = 2(13) + 3

Y = 26 + 3

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Learn more about algebraic equation on:

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