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Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.


Sagot :

Answer:

[tex]\boxed{\boxed{\sf x=-3}}[/tex]

Step-by-step explanation:

[tex]\sf y = -3x - 2[/tex]

[tex]\sf y=7[/tex]

We'll substitute y into the equation:

[tex]\sf 7 = -3x - 2[/tex]

Switch sides:

[tex]\sf -3x-2=7[/tex]

Add 2 to both sides

[tex]\sf -3x-2+2=7+2[/tex]

[tex]\sf -3x=9[/tex]

Divide both sides by -3:

[tex]\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}[/tex]

[tex]\sf x=-3[/tex]

Therefore, the value of x/solution is -3

________________________________________

Answer:

The value of x is  

✔ –3

The solution to this system of equations is  

✔ (–3, 7)

Step-by-step explanation: