What is the solution to the system of equations?

y = –5x + 3

y = 1

Ok so we know that y=1 so we can simply sub in the value of y into the equation :

y = -5x +3

1 = -5x +3

Move the -5x to the LHS ( Left-hand-side ) therefore it changes sign as well move 1 to the RHS ( Right-hand-side ) it also changes sign.

5x = 3 - 1

5x = 2

x = 2/5

x = 0.4

Hope this helps :).

Y=-5x+3

y=1
Replacing for the first equation;
1=-5x+3
-5x=-2
x=
x=0.4