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ddd [48]
3 years ago
9

Solve the equations x squared + y squared = 36 x = 2y + 6

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

Given the equations:

x^2+y^2 =36              .....[1]

x =2y +6                     ....[2]

Substitute the value of x in [1] we get;'

(2y+6)^2+y^2 =36

Use identity: (a+b)^2= a^2+2ab+b^2

4y^2+36+24y + y^2 =36

Combine like terms;

5y^2+36+24y=36

Subtract 36 from both sides we get;

5y^2+24y=0

y (5y+24) = 0

By zero product property, we get;

y = 0 and y =- \frac{24}{5} = -4.8

Substitute these y values in [2] to get x values;

For y = 0 we have;

x = 2(0) +6 = 0+6 = 6

For x = -4.8

x = 2(-4.8)+6 = -9.6 + 6 = -3.6

Therefore, the solution for the given equations are; (6, 0) and (-3.6, -4.8)


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