Question

What is the system of equations?

y=-5x+3
y=1
A. (0.4, 1)
B. (0.8, 1)
C. (1, 0.4)
D. (1, 0.8)

Answer 1

`\large\boxed{A.\ (0.4,\ 1)}`

Explanation:

`\left\{\begin{array}{ccc}y=-5x+3\\y=1\end{array}\right\\\\\text{Put the value of y from the second equation to the first equation:}\\\\1=-5x+3\qquad\text{subtract 3 from both sides}\\\\-2=-5x\qquad\text{divide both sides by (-5)}\\\\(-2)/(-5)=x\to \boxed{x=0.4}`

Answer 2

A. (0.4, 1)

EXPLANATION

The given system of equations is:

y=-5x+3

y=1

We equate the two equations to obtain;

`- 5x + 3 = 1`

Group the similar terms to obtain;

`- 5x = 1 - 3`

`- 5x = - 2`

We divide both sides by -5 to get,

`x = ( - 2)/( - 5)`

`x = ( 2)/( 5)`

`x = 0.4`

Therefore the solution is (0.4,1)