Answer with explanation:
1. x+0=x
0 is the identity element.When number is added to identity the resultant is number.
Option D : Identity
2.
3x-2=60
Adding 2 on both sides
→3x-2+2=60+2
→3x=62
Dividing by 3, on both sides
[tex]x=\frac{62}{3}[/tex]
Option (B.)→ Add 2 . Divide by 3
3.
y> -2,
y=(-2, Infinity)
So, -3 is not the solution of ,y>-2.
Option A: False
4.
The equation in slope-intercept form, is, y = mx + b.
4x-2y=10
4x=2y+10
2y=4x-10
Dividing by 2, on both sides
y=2x-5
Option A:→y=2x-5
5.
The equation of line is
y=2x-11
We have to check whether point (3,0) lies on the line or not.
LHS=y=0
RHS=2x-11
=2 ×3-11
=6-11
= -5
So, point (3,0) does not lie on the line,→y=2x-11.
Option B : False
6.
Slope of line joining the points (-2,-1) and (3,4) is
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m=\frac{4+1}{3-(-2)}\\\\m=\frac{5}{5}\\\\m=1[/tex]
Slope=1
Option A
7.
When solving a system of equations, you are finding the
Option C: Intersection point
8.
[tex]3x + 2y = 10------(1) \\\\2x + 3y = \frac{15}{12}-----------(2)\\\\1+2\\\\5x+5y=\frac{135}{12}\\\\x+y=\frac{27}{12}-----(3)\\\\1-2\\\\x-y=\frac{105}{12}-----(4)\\\\ 3+4\\\\2x=\frac{132}{12}\\\\2x=11\\\\x=\frac{11}{2}\\\\y+\frac{11}{2}=\frac{27}{12}\\\\y=-\frac{11}{2}+\frac{27}{12}\\\\y=\frac{-39}{12}[/tex]
