First solve the first equation for 'y'
3x - y = 4 subtract 3x from both sides
-y = -3x + 4 divide both sides by -1
y = 3x - 4 Now take this equation and substitute into the second equation:
5x + 3y = 9
5x + 3(3x - 4) = 9
5x + 9x - 12 = 9
14x - 12 = 9
14x = 9 + 12
14x = 21
x =

or 1.5
Now substitute this value for 'x' into either of the first two equations to find 'y'
I'll use the equation
y = 3x - 4
y = 3(1.5) - 4
y = 0.5
So your solution is (1.5, 0.5)
Answer:
1. x = 22
2. x = 38
3. x = 24
Step-by-step explanation:
Uhhhhhh
An= -16 + (n-1)7
an= -16 + 7n - 7
an=7n -23
When the rate of change is 7
{a1 = 16, a2=-9, so the rate of rate of change is 7}
Answer:

Step-by-step explanation:
Given

Required
Determine cost of 15

<em>The cost of 15 sweatshirts is calculated by multiplying the cost of 1 by 15.</em>
So, we have:

Open Brackets


<em>Hence, the simplified cost of 15 sweatshirts is</em>

We could use the formula, derive the formula, or just work it out for this case. Let's do the latter.
The distance of a point to a line is the length of the perpendicular from the line to the point.
So we need the perpendicular to 5x-4y=10 through (-1,3). To get the perpendicular family we swap x and y coefficients, negating one. We get the constant straightforwardly from the point we're going through:
4x + 5y = 4(-1)+5(3) = 11
Those lines meet at the foot of the perpendicular, which is what we're after.
4x + 5y = 11
5 x - 4y = 10
We eliminate y by multiplying the first by four, the second by five and adding.
16x + 20y = 44
25x - 20y = 50
41x = 94
x = 94/41
y = (11 - 4x)/5 = 15/41
We want the distance from (-1,3) to (94/41,15/41)