Answer:
x = 10/3
, y = 0
Step-by-step explanation:
Solve the following system:
{4.5 x - 2 y = 15
3 x - y = 10
In the first equation, look to solve for x:
{4.5 x - 2 y = 15
3 x - y = 10
4.5 x - 2 y = (9 x)/2 - 2 y:
(9 x)/2 - 2 y = 15
Add 2 y to both sides:
{(9 x)/2 = 2 y + 15
3 x - y = 10
Multiply both sides by 2/9:
{x = (4 y)/9 + 10/3
3 x - y = 10
Substitute x = (4 y)/9 + 10/3 into the second equation:
{x = (4 y)/9 + 10/3
3 ((4 y)/9 + 10/3) - y = 10
3 ((4 y)/9 + 10/3) - y = ((4 y)/3 + 10) - y = y/3 + 10:
{x = (4 y)/9 + 10/3
y/3 + 10 = 10
In the second equation, look to solve for y:
{x = (4 y)/9 + 10/3
y/3 + 10 = 10
Subtract 10 from both sides:
{x = (4 y)/9 + 10/3
y/3 = 0
Multiply both sides by 3:
{x = (4 y)/9 + 10/3
y = 0
Substitute y = 0 into the first equation:
Answer: {x = 10/3
, y = 0
Step-by-step explanation:
2(x3+5x2−2x2y−10xy)
=(2)(x3+5x2+−2x2y+−10xy)
=(2)(x3)+(2)(5x2)+(2)(−2x2y)+(2)(−10xy)
=2x3+10x2−4x2y−20xy
=2x3−4x2y+10x2−20xy
Tmes -3 each times so next 2 numbers are -243 then 729
The answer will be 81.
Step-by-step explanation:
just multiple by 3
<u>Answer:</u>
- The length of BC is 25 units.
<u>Step-by-step explanation:</u>
<u>We know that the triangle is an isosceles triangle. Hence, we know that AB = AC. Let's first solve for x.</u>
- => 4x + 1 = 2x + 23
- => 4x - 2x = -1 + 23
- => 2x = 22
- => <u>x = 11</u>
<u>Now, let's substitute the value into the expression.</u>
- => 3x - 8
- => 3(11) - 8
- => 33 - 8
- => <u>25</u>
<u>Hence,</u><u> the length of BC is 25 units.</u>
Hoped this helped.
