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Solve the system. 2x + y = 3 −2y = 14 − 6x Write each equation in slope-intercept form.

Respuesta :

Answer:

2x + y = 3

y = -2x + 3 <==

-2y = 14 - 6x

y = -14/2 + 6/2x

y = -7 + 3x

y = 3x - 7 <===

Step-by-step explanation:

The answer of the the system of equation is y = -2/11 and x = 39/22.

What is a system of equation ?

"A 'system' of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

Think back to when you were first learning about two-variable linear equations, often stated in the form "y = mx + b. For instance, consider the linear equation y = 3x − 5. A "solution" to this equation was any (x, y)-point that "worked" in the equation."

Given the equation

2x + y = 3 −2y = 14 − 6x

solving them gives us [tex]2x+3y=3[/tex] or x =3- 3y/2 and [tex]6x - 2y = 11[/tex] or x =11+2y/6

solving both the equations we get y = -2/11 and x = 39/22

Hence, y = -2/11 and x = 39/22.

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