Question

1. what value of ( y ) makes the equation below true?( 6y + 7 = 19 )a. 2 b. 7 c. 16 d. 1930. which equation has the solution ( x = 4 )?a. ( 8x + 8 = 40 ) b. ( 8x + 6 = 102 )c. ( 5x - 4 = 37 ) d. ( 6x - 6 = -18 )31. solve. ( 4(y - 2) = -12 )32. solve. ( 5(x - 4) = -55 )33. select the... (numbers writ across.)( square )-7( square )0( square )0.999( square )1.01( square )434. select the value... true. (numbers writ across.)( square )-12( square )-5( square )-4.001( square )-3.99( square )-135. solve for ( x ) and... below.

Explanation:

Step1: Isolate term with $y$

Subtract 7 from both sides:
$6y + 7 - 7 = 19 - 7$
$6y = 12$

Step2: Solve for $y$

Divide both sides by 6:
$\frac{6y}{6} = \frac{12}{6}$
$y = 2$

---

Step1: Test $x=4$ in Option A

Substitute $x=4$:
$8(4) + 8 = 32 + 8 = 40$

Step2: Verify other options (optional)

Option B: $8(4)+6=38
eq102$
Option C: $5(4)-4=16
eq37$
Option D: $6(4)-6=18
eq-18$

---

Step1: Divide both sides by 4

$\frac{4(y-2)}{4} = \frac{-12}{4}$
$y - 2 = -3$

Step2: Solve for $y$

Add 2 to both sides:
$y - 2 + 2 = -3 + 2$
$y = -1$

---

Step1: Divide both sides by 5

$\frac{5(x-4)}{5} = \frac{-55}{5}$
$x - 4 = -11$

Step2: Solve for $x$

Add 4 to both sides:
$x - 4 + 4 = -11 + 4$
$x = -7$

Answer:

1. A. 2
2. A. $8x + 8 = 40$
3. $y = -1$
4. $x = -7$