While it's pretty obvious to most of us that
-13x=90-2y
-6x=48-2y
is a system of linear equations, it'd be well to include that info plus the instructions "solve this system of linear equations."
Subtract the 2nd equation from the first:
-13x=90-2y
+6x=-48+2y
-----------------------
-7x = 42. Then x = -42/7, or x = 6.
Now subst. 6 for x in either one of the given equations. Suppose we use the 2nd equation:
-6x=48-2y
Then -6(6)=48-2y, or -36 = 48 - 2y, or 2y = 48+ 36 = 84. Then y = 42.
The solution is (6, 42).
There should be 24 turtles
Slope is 2/3
intercept is (0,3)
y=2/3 x + 3
Answer:
y = 167°
Step-by-step explanation:
The vertex of the triangle = 154° ( alternate angle to 154° )
The triangle has 2 equal legs so is isosceles with 2 base angles congruent
base angle =
=
= 13°
base angle and y are adjacent angles, lie on straight line AB and sum to 180°
y + 13° = 180° ( subtract 13° from both sides )
y = 167°
<u>Answer</u>
1st solution: a = 1
b = 3
2nd solution: a = 2
b = 6
<u>Explanation</u>
1st solution
<em> 1</em>
<em> 333</em>
<em> 333</em>
<em> 333</em>
<em> </em><em><u> +333</u></em>
<em> </em><em><u> 1333</u></em>
2nd solution
<em> 2</em>
<em> 666</em>
<em> 666</em>
<em> 666</em>
<em><u> + 666</u></em>
<em><u> 2666</u></em>