Question10. $x+-4+2 x=14$
11. $4(y+1)=-8$

Studdy Solution

STEP 1

1. The given expressions are linear equations.
2. We aim to solve for the variable $x$ in the first equation and for the variable $y$ in the second equation.
3. Basic algebraic manipulation will be required to isolate the variable in each equation.

STEP 2

1. Simplify and solve the equation $10x - 4 + 2x = 14$ .
2. Simplify and solve the equation $4(y + 1) = -8$ .

STEP 3

Combine like terms in the equation $10x - 4 + 2x = 14$ .
$10x + 2x - 4 = 14$

STEP 4

Simplify the combined terms.
$12x - 4 = 14$

STEP 5

Add $4$ to both sides of the equation to isolate the term with $x$ .
$12x - 4 + 4 = 14 + 4$ $12x = 18$

STEP 6

Divide both sides by $12$ to solve for $x$ .
$x = \frac{18}{12}$ $x = \frac{3}{2}$

STEP 7

Simplify the equation $4(y + 1) = -8$ by first distributing the $4$ .
$4y + 4 = -8$

STEP 8

Subtract $4$ from both sides of the equation to isolate the term with $y$ .
$4y + 4 - 4 = -8 - 4$ $4y = -12$

STEP 9

Divide both sides by $4$ to solve for $y$ .
$y = \frac{-12}{4}$ $y = -3$
The solution to the equations are: $x = \frac{3}{2}$ $y = -3$

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