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artcher [175]
3 years ago
13

War Eagle spied 1428 antelope and wildebeests grazing on the savannah. If the ratio of antelope to wildebeests was 9 to 5, how m

any antelope were there? (Answer is 918 but idk how to solve it.....)
Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

Answer:

9:5 = 1428:x

ratios can also be written as fractions, so

9/5 = 1428/x

solve for x

9/5 × x = 1428

x = 1428 / (9/5)

x = 918

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The solution for the given system of equations (x,y) is (-1/2, -5/2).

<u>Step-by-step explanation:</u>

The given system of equations are :

x - y = 2  ------(1)

x + y = -3  -------(2)

To solve the system of equations, you can use elimination method.

In this method, the first step is followed by adding both the equations.

    x - y = 2  

(+) <u>x + y = -3 </u>

   <u>2x     = -1  </u>

⇒ 2x = -1

divide by 2 on both side, to get x value.

⇒ x = -1/2

The value of x is -1/2

The second step is to substitute x = -1/2 in any of the two equations.

Put x = -1/2 in equation (1),

⇒ -1/2 -y = 2

Cross multiply the denominator 2 on both sides,

⇒ -1-2y =4

Add 1 on both sides,

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Divide by -2 on both sides,

⇒ y = -5/2

The value of y is -5/2

The solution to the system of equations is be given by (x,y).

Therefore, the solution is (-1/2, -5/2).

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