Answer:
1. [tex]x[/tex] = 9
2. [tex]h[/tex] = 2
3. Infinitely Many Solutions
4. No solution
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
1.) 5(2[tex]x[/tex] + 6) = 8[tex]x[/tex] + 48
Step 1: Expand.
10[tex]x[/tex] + 30 = 8
Step 2: Subtract 30 from both sides.
10[tex]x[/tex] = 8
Step 3: Simplify 8[tex]x[/tex] + 48 − 30 to 8[tex]x[/tex] + 18.
10[tex]x[/tex] = 8
Step 4: Subtract 8[tex]x[/tex] from both sides.
10[tex]x[/tex] − 8
Step 5: Simplify 10[tex]x[/tex] − 8[tex]x[/tex] to 2[tex]x[/tex].
2[tex]x[/tex] = 18
Step 6: Simplify [tex]\frac{18}{2}[/tex] to 9.
[tex]x[/tex] = 9
2.) −3(8 + 3[tex]h[/tex]) = 5[tex]h[/tex] + 4
Step 1: Expand.
−24 − 9[tex]h[/tex] = 5
Step 2: Add 24 to both sides.
−9[tex]h[/tex] = 5
Step 3: Simplify 5[tex]h[/tex] + 4 + 24 to 5[tex]h[/tex] + 28.
−9[tex]h[/tex] = 5
Step 4: Subtract 5[tex]h[/tex] from both sides.
−9[tex]h[/tex] − 5
Step 5: Simplify −9[tex]h[/tex] − 5[tex]h[/tex] to −14[tex]h[/tex].
−14[tex]h[/tex] = 28
Step 6: Divide both sides by −14.
[tex]h[/tex] = [tex]-\frac{28}{14}[/tex]
Step 7: Simplify [tex]\frac{28}{14}[/tex] to 2.
[tex]h[/tex] = 2
3.) 2([tex]y[/tex] − 6) = 3([tex]y[/tex] − 4) − [tex]y[/tex]
Step 1: Expand.
2[tex]y[/tex] − 12 = 3
Step 2: Simplify 3[tex]y[/tex] − 12 − [tex]y[/tex] to 2[tex]y[/tex] − 12.
2[tex]y[/tex] − 12 = 2 − 12
Step 3: Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
4.) 8[tex]x[/tex] − 4 = 2(4[tex]x[/tex] − 4)
Step 1: Expand.
8[tex]x[/tex] − 4 = 8
Step 2: Cancel 8[tex]x[/tex] on both sides.
−4 = −8
Step 3: Since −4 = −8 − 4 = −8 is false, there is no solution.
No solution
~I hope I helped you! Good luck :)~
