Answer:
[tex]x = - 1[/tex]
[tex]y = 3[/tex]
Step-by-step explanation:
[tex]y - 4x = 7(eqn \: 1)[/tex]
[tex]2y + 4x = 2(eqn \: 2)[/tex]
[tex]solving \: by \: eliminating \: one \: variable[/tex]
[tex](y - 4x = 7)[/tex]
[tex] + (2y + 4x = 2)[/tex]
[tex]3y = 9[/tex]
[tex]y = 3[/tex]
[tex]y - 4x = 7[/tex]
[tex]3 - 4x = 7[/tex]
[tex] - 4x = 7 - 3[/tex]
[tex] \frac{ - 4x}{ - 4} = \frac{4}{ - 4} [/tex]
[tex]x = - 1[/tex]
The solution to this system of linear equations will be (–1, 3). Then the correct option is D.
The solution of the equation means the value of the unknown or variable.
The equations are given below.
y − 4x = 7 ...1
2y + 4x = 2 ...2
Add both equations, then we have
3y = 9
y = 3
Put y = 3 in equation 1, then we have
3 − 4x = 7
4x = –4
x = –1
The solution to this system of linear equations will be (–1, 3).
Then the correct option is D.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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