Answered

IDNLearn.com makes it easy to get reliable answers from experts and enthusiasts alike. Find the answers you need quickly and accurately with help from our knowledgeable and dedicated community members.

Use one of the algebraic methods tosolve the following system of equations:10x + 4y =-6y = 2x - 6

Use One Of The Algebraic Methods Tosolve The Following System Of Equations10x 4y 6y 2x 6 class=

Sagot :

Using the Substitution method of the simultaneous equation to resolve the system of equations given below

[tex]\begin{gathered} 10x+4y=-6\ldots\ldots\ldots.1 \\ y=2x-6\ldots\ldots\ldots2 \end{gathered}[/tex]

Substitute y = 2x - 6 into equation 1 and evaluate for x

[tex]10x+4\mleft(2x-6\mright)=-6[/tex]

Simplify

[tex]\begin{gathered} 10x+8x-24=-6 \\ \text{Isolate for x} \\ 18x=-6+24 \\ \frac{18x}{18}=\frac{18}{18} \\ \therefore x=1 \end{gathered}[/tex]

Substitute x = 1 into equation 2 and evaluate for y

[tex]\begin{gathered} y=2\times\: 1-6=2-6=-4 \\ \therefore y=-4 \end{gathered}[/tex]

Hence, the solutions to the system of equations are

[tex]x=1,\: y=-4[/tex]

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.