Zina solves a system of linear equations by elimination and finds that the solution to a system is (2, 2). One of the equations is a + b = 4. Which answer could be the other equation?

Respuesta :

Answer:

a + 3b = 8

Step-by-step explanation:

I got it right on the quiz

Linear equations are equations of a straight line.

The other equation could be [tex]\mathbf{a + 3b = 8}[/tex]

The equation is give as:

[tex]\mathbf{a + b = 4}[/tex]

The solution is given as:

[tex]\mathbf{(a,b) = (2,2)}[/tex]

From the list of given options, the other equation is:

[tex]\mathbf{a + 3b = 8}[/tex]

Substitute [tex]\mathbf{(a,b) = (2,2)}[/tex] for proof

[tex]\mathbf{2 + 3 \times 2= 8}[/tex]

[tex]\mathbf{2 + 6= 8}[/tex]

[tex]\mathbf{8= 8}[/tex]

The above equation is true.

Hence, the other equation could be [tex]\mathbf{a + 3b = 8}[/tex]

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