Certainly! Let's solve the equation [tex]\(4x + y = 20\)[/tex] step by step to find the value of [tex]\(y\)[/tex] when [tex]\(x\)[/tex] equals 6.
1. Start with the given equation:
[tex]\[
4x + y = 20
\][/tex]
2. Substitute the given value of [tex]\(x\)[/tex], which is 6, into the equation:
[tex]\[
4(6) + y = 20
\][/tex]
3. Calculate the value of [tex]\(4 \times 6\)[/tex]:
[tex]\[
4 \times 6 = 24
\][/tex]
The equation now is:
[tex]\[
24 + y = 20
\][/tex]
4. To isolate [tex]\(y\)[/tex], subtract 24 from both sides of the equation:
[tex]\[
y = 20 - 24
\][/tex]
5. Perform the subtraction on the right side of the equation:
[tex]\[
20 - 24 = -4
\][/tex]
So, the value of [tex]\(y\)[/tex] when [tex]\(x\)[/tex] equals 6 is:
[tex]\[
y = -4
\][/tex]
