Answer :
Sure! Let's solve the equation step-by-step to find the value of [tex]\( x \)[/tex] when [tex]\( y = 15 \)[/tex] in the equation [tex]\( y = 4x + 7 \)[/tex].
1. Write down the given equation:
[tex]\[
y = 4x + 7
\][/tex]
2. Substitute the given value of [tex]\( y \)[/tex] (which is 15) into the equation:
[tex]\[
15 = 4x + 7
\][/tex]
3. To isolate [tex]\( 4x \)[/tex], subtract 7 from both sides of the equation:
[tex]\[
15 - 7 = 4x
\][/tex]
[tex]\[
8 = 4x
\][/tex]
4. Now, to solve for [tex]\( x \)[/tex], divide both sides of the equation by 4:
[tex]\[
\frac{8}{4} = x
\][/tex]
[tex]\[
x = 2
\][/tex]
So, the value of [tex]\( x \)[/tex] when [tex]\( y = 15 \)[/tex] is [tex]\( x = 2 \)[/tex].
1. Write down the given equation:
[tex]\[
y = 4x + 7
\][/tex]
2. Substitute the given value of [tex]\( y \)[/tex] (which is 15) into the equation:
[tex]\[
15 = 4x + 7
\][/tex]
3. To isolate [tex]\( 4x \)[/tex], subtract 7 from both sides of the equation:
[tex]\[
15 - 7 = 4x
\][/tex]
[tex]\[
8 = 4x
\][/tex]
4. Now, to solve for [tex]\( x \)[/tex], divide both sides of the equation by 4:
[tex]\[
\frac{8}{4} = x
\][/tex]
[tex]\[
x = 2
\][/tex]
So, the value of [tex]\( x \)[/tex] when [tex]\( y = 15 \)[/tex] is [tex]\( x = 2 \)[/tex].
