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What are the solutions of the following system?

What are the solutions of the following system?-example-1
User UUHHIVS
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2 Answers

2 votes

Answer:

(-4;3), (0;-5)

Explanation:

What are the solutions of the following system?-example-1
User Bryan Bende
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3.7k points
2 votes

Answer:

(0,-5) and (-4,3) are the points to the equations.

Explanation:

Solution:

Step 1: Make an equation for y to substitute to the first equation.

x^2+y^2=25

y=-2x-5

Step 2: Substitute the y-value to the first equation.

x^2+(-2x-5)^2=25

x^2+4x^2+20x+25=25

Our x-values would be 0, and -4.

Step 3: Solve for the y-values by substituting 0 and -4 to the equation y=-2x-5.

y=-2(0)-5=-5 and makes the ordered pair (0,-5)

y=-2(-4)-5=3 and makes the ordered pair (-4,3)

Therefore our answers would be (0,-5) and (-4,3)

User Ahmad Aghazadeh
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4.2k points