Solve simultaneously:
<span>15x-8y=52 and
6x+14y=38
</span>
Let's solve this system thru elimination by addition/subtraction:
Let's get rid of the x terms.
To do this, mult. the first eqn. by -6 and the second by 15. (This is not the only way in which we can do this!!) We get
-90x + 48y = -312
90x +210y = 570
--------------------------
Add all 3 columns together. We end up with:
258y = 258, so y = 1. You can find x by subst. 1 for y in either of the given equations.
If you'd like more help, please be specific about what you want.
Answer:
30 students would have to go for the cost to be the same.
Step-by-step explanation:
Bus A: $40 + ($4 * 30) = $160
Bus B: $100 + ($2 * 30) = $160
<span><span> a3b2/a2b</span> </span>Final result :<span> ab3
</span>Reformatting the input :
Changes made to your input should not affect the solution:
(1): "a2" was replaced by "a^2". 2 more similar replacement(s).
Step by step solution :<span>Step 1 :</span><span> b2
Simplify ——
a2
</span><span>Equation at the end of step 1 :</span><span><span> b2
((a3) • ——) • b
a2
</span><span> Step 2 :</span></span>Multiplying exponential expressions :
<span> 2.1 </span> <span> b2</span> multiplied by <span>b1 = b(2 + 1) = b3</span>
Final result :<span> ab<span>3</span></span>
Answer:
Area 
square units
units
units
Step-by-step explanation:
In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.
So,
a. The area of the triangle ABC is
b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so
Answer:
(-4, 2)
Step-by-step explanation:
4x+2y=-12
3x+y=-10
Start by dividing the first equation by 2 to simplify it...
2x+y=-6
Then, subtract -2x from both sides to isolate y...
y=-2x-6
Substitute -2x-6 for y in the second equation...
3x-2x-6=-10
Combine like terms...
x-6=-10
Add 6 to both sides
x-6+6=-10+6
x=-4
Plug -4 in for x to solve for y:
3(-4)+y=-10
-12+y=-10
Add 12 to both sides
-12+12+y=-10+12
y=2
(x,y)=(-4,2)
