The solution is x = 8 and y = 2
<em><u>Solution:</u></em>
<em><u>Given are the system of equations</u></em>
2x + 3y = 22 -------- eqn 1
-2x + 5y = -6 ----- eqn 2
We can solve the system of equations by elimination method
<em><u>Add eqn 1 and eqn 2</u></em>
Eqn 1 + Eqn 2
2x + 3y -2x + 5y = 22 - 6
0x + 3y + 5y = 16
8y = 16
Divide both sides of equation by 8
<h3>y = 2</h3>
Substitute y = 2 in eqn 1
2x + 3(2) = 22
2x = 22 - 6
2x = 16
<h3>x = 8</h3>
Thus the solution is x = 8 and y = 2
General form of the line equation is: y= mx + c
where m is the slope and c is the constant
the slope here is given and equal to 3
so, m= 3
y= 3x +c
to get the constant c, substitute with the point in this equation
y= -2 & x = 1
-2 = 3*1 + c
c = -5
then the equation of the line is y = 3x -5
y = 3x -3 -2
y +2 = 3(x-1)
the answer is (B)
49 is 7(7)
122 is 11(11)
144 is 12(12)
So D. 88 is the imposter here.
The answer to this is D. 180 square inches.
The area formula for rectangles: b*h
The base is 5 tiles.
The height is 4 tiles.
4*5=20.
Since each tile is 9 square inches, 20*9=180.
Hope this helps!
