Answer:
[tex]\boxed {\boxed {\sf (3, -1)}}[/tex]
Step-by-step explanation:
We are asked to solve this system of equations using substitution:
[tex]2x+y=5\\y=x-4[/tex]
Since y is equal to x-4, we can substitute x-4 in the top equation.
[tex]2x+(x-4)=5[/tex]
[tex]2x+x-4=5[/tex]
Combine the like terms on the left side of the equation. 2x and x both have the variable x and can be added.
[tex]3x-4=5[/tex]
Now, solve for x by isolating the variable. 4 is being subtracted and the inverse of subtraction is addition. Add 4 to both sides.
[tex]3x-4+4=5+4\\3x=5+4\\3x=9[/tex]
x is being multiplied by 3 and the inverse of multiplication is division. Divide both sides by 3.
[tex]3x/3=9/3 \\x=9/3 \\x=3[/tex]
x is equal to 3. Substitute 3 back into the bottom equation to find y.
[tex]y=x-4\\y=3-4\\y=-1[/tex]
Points are written as (x,y). The solution to this system of equations is (3, -1).
