Hello!
The answers are:
1
[tex]x=2[/tex]
2
[tex]y=-4[/tex]
3
[tex]z=4[/tex]
4
[tex]x=-5[/tex]
Why?
Solving for each of the given equations and variable, we have:
1
[tex]-2x + 5 = 4x - 7[/tex]
Solving for "x", we have:
[tex]-2x + 5 = 4x - 7\\\\-2x-4x=-7-5\\\\-6x=-12\\\\x=\frac{-12}{-6}=2[/tex]
So, we have that:
[tex]x=2[/tex]
2
[tex]12y+4=8y-12[/tex]
Solving for "y", we have:
[tex]12y+4=8y-12\\\\12y-8y=-12-4\\\\4y=-16\\\\y=\frac{-16}{4}=-4[/tex]
So, we have that:
[tex]y=-4[/tex]
3
[tex]7z-18 =-2z+18[/tex]
Solving for "z", we have:
[tex]7z-18 =-2z+18\\\\7z+2z=18+18\\\\9z=36\\\\z=\frac{36}{9}=4[/tex]
So, we have that:
[tex]z=4[/tex]
4
[tex]10x+15 =5x-10[/tex]
Solving for "x", we have:
[tex]10x+15 =5x-10\\\\10x-5x=-10-15\\\\5x=-25\\\\x=\frac{-25}{5}=-5[/tex]
So, we have that:
[tex]x=-5[/tex]
Hence, the answers are:
1
[tex]x=2[/tex]
2
[tex]y=-4[/tex]
3
[tex]z=4[/tex]
4
[tex]x=-5[/tex]
Have a nice day!
