3 years ago

Describe in words how you would solve the linear system y = 3x + 1 and y = - 2x + 3.

1 answer:

5 0

We are using substitution to solve this problem.

y=3x+1
y=-2x+3
Make these equal each other: 3x+1=-2x+3
Add 2x to both sides: 3x+2x+1=-2x+2x+3
= 5x+1=3
Subtract 1 from both sides; 5x+1-1=3-1
= 5x=2
Divide 5 from both sides: 5x/5=2/5
X= 2/5
Plug X into one of the equations: y=3(2/5) +1
y=11/5(2.2)

(2/5,11/5)

You might be interested in

If f(x)=3x-1 and g(x)=x+2,find (f-g)(x)

oksian1 [2.3K]

Answer:

$\large\boxed{(f-g)(x)=2x-3}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\\\f(x)=3x-1,\ g(x)=x+2\\\\\text{substitute:}\\\\(f-g)(x)=(3x-1)-(x+2)\\\\=3x-1-x-2\qquad\text{combine like terms}\\\\=(3x-x)+(-1-2)\\\\=2x-3$