Answered

Get expert insights and community-driven knowledge on IDNLearn.com. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

The value of [tex]\( x \)[/tex] in this system of equations is 1.

[tex]\[
\begin{array}{l}
3x + y = 9 \\
y = -4x + 10
\end{array}
\][/tex]

1. Substitute the value of [tex]\( y \)[/tex] in the first equation:

[tex]\[
3x + (-4x + 10) = 9
\][/tex]

2. Combine like terms:

[tex]\[
-x + 10 = 9
\][/tex]

3. Apply the subtraction property of equality:

[tex]\[
-x = -1
\][/tex]

[tex]\[
x = 1
\][/tex]

4. Apply the division property of equality:

What is the value of [tex]\( y \)[/tex]?

[tex]\[
y = \square
\][/tex]

Sagot :

GinnyAnsweridn
Let's determine the value of [tex]\( y \)[/tex] given [tex]\( x = 1 \)[/tex].

We are given the system of equations:
[tex]\[ \begin{array}{l} 3x + y = 9 \\ y = -4x + 10 \end{array} \][/tex]

1. We know [tex]\( x = 1 \)[/tex]. Substitute [tex]\( x = 1 \)[/tex] into the second equation to find [tex]\( y \)[/tex]:
[tex]\[ y = -4x + 10 \][/tex]
[tex]\[ y = -4(1) + 10 \][/tex]

2. Simplify the expression:
[tex]\[ y = -4 + 10 \][/tex]
[tex]\[ y = 6 \][/tex]

Thus, the value of [tex]\( y \)[/tex] is:
[tex]\[ y = 6 \][/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.