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3 years ago

Solve for x and y: x-3y=-8 3x+2y=31

2 answers:

6 0

x - 3y = -8
3x + 2y = 31
———————
3x - 9y = -24
3x + 2y = 31
———————
-11y = -55
y = 5

x - 3y = -8
x - 3(5) = -8
x - 15 = -8
x = 7

(x, y) = (7, 5)

uranmaximum [27]3 years ago

5 0

x = 3y - 8

Plug this in for variable x in equation [2]
 [2] 3•(3y-8) + 2y = 31 [2] 11y = 55

Solve equation [2] for the variable y

[2] 11y = 55 [2] y = 5

// By now we know this much :

x = 3y-8 y = 5

// Use the y value to solve for x

x = 3(5)-8 = 7 Solution : {x,y} = {7,5} Processing ends successfully

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we will proceed to verify each case

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The point is $(2,80)$

Verify if the point satisfy the equation

For $x=2$ find the value of y in the equation and compare with the y-coordinate of the point

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therefore

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The point is $(2,80)$

Verify if the point satisfy the equation

For $x=2$ find the value of y in the equation and compare with the y-coordinate of the point

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$80=80$

therefore

the equation $f(x)=5(x^{4})$ passes through the point $(2,80)$

case C.) $f(x)=4(5^{x})$

The point is $(2,80)$

Verify if the point satisfy the equation

For $x=2$ find the value of y in the equation and compare with the y-coordinate of the point

$f(2)=4(5^{2})$

$f(2)=100$

$100\neq 80$

therefore

the equation $f(x)=4(5^{x})$ not passes through the point $(2,80)$

case D.) $f(x)=5(4^{x})$

The point is $(2,80)$

Verify if the point satisfy the equation

For $x=2$ find the value of y in the equation and compare with the y-coordinate of the point

$f(2)=5(4^{2})$

$f(2)=80$

$80=80$

therefore

the equation $f(x)=5(4^{x})$ passes through the point $(2,80)$

therefore

the answer is

$f(x)=5(x^{4})$

$f(x)=5(4^{x})$

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