Question Solve the system of linear equations: $x = -4$ and $y + 6.2x = -13$ .

Studdy Solution

STEP 1

Assumptions
1. The value of $x$ is given as $x = -4$ .
2. The second equation is $y + 6.2x = -13$ .
3. We need to find the value of $y$ .

STEP 2

Substitute the value of $x$ into the second equation to solve for $y$ .
$y + 6.2x = -13$

STEP 3

Plug in the value of $x = -4$ into the equation.
$y + 6.2(-4) = -13$

STEP 4

Multiply $6.2$ by $-4$ .
$y - 24.8 = -13$

STEP 5

Add $24.8$ to both sides of the equation to isolate $y$ .
$y = -13 + 24.8$

STEP 6

Calculate the value of $y$ .
$y = 11.8$
The value of $y$ is $11.8$ .

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Question Solve the system of linear equations: $x = -4$ and $y + 6.2x = -13$ .

Studdy Solution

STEP 1

Assumptions
1. The value of $x$ is given as $x = -4$ .
2. The second equation is $y + 6.2x = -13$ .
3. We need to find the value of $y$ .

STEP 2

Substitute the value of $x$ into the second equation to solve for $y$ .
$y + 6.2x = -13$

STEP 3

Plug in the value of $x = -4$ into the equation.
$y + 6.2(-4) = -13$

STEP 4

Multiply $6.2$ by $-4$ .
$y - 24.8 = -13$

STEP 5

Add $24.8$ to both sides of the equation to isolate $y$ .
$y = -13 + 24.8$

STEP 6

Calculate the value of $y$ .
$y = 11.8$
The value of $y$ is $11.8$ .

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Question Solve the system of linear equations: x=−4x = -4x=−4 and y+6.2x=−13y + 6.2x = -13y+6.2x=−13.

Studdy Solution

STEP 1

Assumptions1. The value of xxx is given as x=−4x = -4x=−4.2. The second equation is y+6.2x=−13y + 6.2x = -13y+6.2x=−13.3. We need to find the value of yyy.

STEP 2

Substitute the value of xxx into the second equation to solve for yyy.y+6.2x=−13y + 6.2x = -13y+6.2x=−13

STEP 3

Plug in the value of x=−4x = -4x=−4 into the equation.y+6.2(−4)=−13y + 6.2(-4) = -13y+6.2(−4)=−13

STEP 4

Multiply 6.26.26.2 by −4-4−4.y−24.8=−13y - 24.8 = -13y−24.8=−13

STEP 5

Add 24.824.824.8 to both sides of the equation to isolate yyy.y=−13+24.8y = -13 + 24.8y=−13+24.8

STEP 6

Calculate the value of yyy.y=11.8y = 11.8y=11.8The value of yyy is 11.811.811.8.

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Question Solve the system of linear equations: $x = -4$ and $y + 6.2x = -13$ .

Assumptions
1. The value of $x$ is given as $x = -4$ .
2. The second equation is $y + 6.2x = -13$ .
3. We need to find the value of $y$ .

Substitute the value of $x$ into the second equation to solve for $y$ .
$y + 6.2x = -13$

Plug in the value of $x = -4$ into the equation.
$y + 6.2(-4) = -13$

Multiply $6.2$ by $-4$ .
$y - 24.8 = -13$

Add $24.8$ to both sides of the equation to isolate $y$ .
$y = -13 + 24.8$

Calculate the value of $y$ .
$y = 11.8$
The value of $y$ is $11.8$ .