Solved on Sep 19, 2023

Find the value of $x$ that satisfies the equation $2x - 4y = 2$ when $y = -4$ .

STEP 1

Assumptions1. The given equation is $x -4y =$ . We are looking for a pair $(?, -4)$ that satisfies the equation. This means we are looking for a value of $x$ when $y = -4$ .

STEP 2

Substitute $y = -4$ into the equation.
$2x -4(-4) =2$

STEP 3

implify the equation.
$2x +16 =2$

STEP 4

Subtract16 from both sides of the equation to isolate $2x$ .
$2x =2 -16$

STEP 5

implify the right side of the equation.
$2x = -14$

STEP 6

Divide both sides of the equation by2 to solve for $x$ .
$x = -14 /2$

STEP 7

Calculate the value of $x$ .
$x = -7$ So, the pair that will satisfy the given equation is $(-7, -4)$ .

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Find the value of $x$ that satisfies the equation $2x - 4y = 2$ when $y = -4$ .

STEP 1

Assumptions1. The given equation is $x -4y =$ . We are looking for a pair $(?, -4)$ that satisfies the equation. This means we are looking for a value of $x$ when $y = -4$ .

STEP 2

Substitute $y = -4$ into the equation.
$2x -4(-4) =2$

STEP 3

implify the equation.
$2x +16 =2$

STEP 4

Subtract16 from both sides of the equation to isolate $2x$ .
$2x =2 -16$

STEP 5

implify the right side of the equation.
$2x = -14$

STEP 6

Divide both sides of the equation by2 to solve for $x$ .
$x = -14 /2$

STEP 7

Calculate the value of $x$ .
$x = -7$ So, the pair that will satisfy the given equation is $(-7, -4)$ .

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Find the value of xxx that satisfies the equation 2x−4y=22x - 4y = 22x−4y=2 when y=−4y = -4y=−4.

STEP 1

Assumptions1. The given equation is x−4y=x -4y =x−4y= . We are looking for a pair (?,−4)(?, -4)(?,−4) that satisfies the equation. This means we are looking for a value of xxx when y=−4y = -4y=−4.

STEP 2

Substitute y=−4y = -4y=−4 into the equation.2x−4(−4)=22x -4(-4) =22x−4(−4)=2

STEP 3

implify the equation.2x+16=22x +16 =22x+16=2

STEP 4

Subtract16 from both sides of the equation to isolate 2x2x2x.2x=2−162x =2 -162x=2−16

STEP 5

implify the right side of the equation.2x=−142x = -142x=−14

STEP 6

Divide both sides of the equation by2 to solve for xxx.x=−14/2x = -14 /2x=−14/2

STEP 7

Calculate the value of xxx.x=−7x = -7x=−7So, the pair that will satisfy the given equation is (−7,−4)(-7, -4)(−7,−4).

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the value of $x$ that satisfies the equation $2x - 4y = 2$ when $y = -4$ .

Assumptions1. The given equation is $x -4y =$ . We are looking for a pair $(?, -4)$ that satisfies the equation. This means we are looking for a value of $x$ when $y = -4$ .

Substitute $y = -4$ into the equation.
$2x -4(-4) =2$

implify the equation.
$2x +16 =2$

Subtract16 from both sides of the equation to isolate $2x$ .
$2x =2 -16$

implify the right side of the equation.
$2x = -14$

Divide both sides of the equation by2 to solve for $x$ .
$x = -14 /2$

Calculate the value of $x$ .
$x = -7$ So, the pair that will satisfy the given equation is $(-7, -4)$ .