Question

The value of x in this system of equations is 1. What is the value of y?

3 x + y = 9
y = -4 x + 10
y=

Answer 1

Answer: 6

Explanation:

x=1

=> 3.1 + y=9

=>y=9-3=6

or

y=-4.1+10

y=-4+10=6

Answer 2

Hello!

`\Large \underline{\textbf{\sf We~ know:}}\\\\\sf x = 1\\\\3x + y = 9\\\\y = -4x + 10\\ \\\\\Large \underline{\textbf{\sf We~ search:}}\\\\The~ value ~of~ y\\\\\\\Large \underline{\textbf{\sf We~ solve:}}\\\\\\`

`\sf 3x + y = 9\\\\3*1 + y = 9\\\\3 + y = 9\\\\y = 9 - 3\\\\\boxed{\sf y = 6}`

`\Large \underline{\textbf{\sf We~ verify:}}\\\\\sf 3x + y = 9\\\\3*1 + 6 = 9\\\\\\\\\sf y = -4x + 10\\\\-4*1 + 10 = 6\\\\\\\Large \underline{\textbf{\sf Conclusion:}}\\\\`

`\sf In ~this ~system ~of~ equations,~the ~value ~of ~x~ is ~1~and~the~value~of~y~is~6.`