For this example all you have to do is subtract -4/5 from both side
So the answer is 51/5=x
<span>2y=3x-7
y = 3/2x - 7/2
y = 1.5x - 3.5 so slope = 1.5
</span><span>line parallel so it has same slope = 1.5
</span>
y +1 = 1.5(x - 0.5)
y + 1 = 1.5x - 0.75
y = 1.5x - 1.75
answer: equation y = 1.5x - 1.75
Answer:
1) (x, y) = (1, 8)
2) (x, y) =<em>(-2, -4)</em>
3) (x, y) = (3, -1)
Step-by-step explanation:
1) Given the equations;
7x+2y =23 .... 1
6x+y= 14 .... 2
From 2; y = 14-6x
Substitute into 1;
From 1; 7x+2y =23
7x + 2(14-6x) = 23
7x + 28 - 12x = 23
-5x = 23 - 28
-5x = -5
x = 5/5
x = 1
Substitute x = 1 into y = 14-6x
y = 14 - 6 (1)
y - 14 - 6
y = 8
Hence (x, y) = (1, 8)
2) Given
y=-4
y=-3x-10
We will simply equate bith expression and get x;
-3x - 10 = -4
-3x = -4 + 10
-3x = 6
x = 6/-3
x = -2
<em>Hence the solution is (-2, -4)</em>
<em></em>
3) Given the equation
y=-3x+8
y=5x-16
Equate both expressions;
-3x + 8 = 5x - 16
-3x - 5x = -16 - 8
-8x = -24
x = 24/8
x = 3
Substitute x = 3 into y=-3x+8
y = -3(3) + 8
y = -9 + 8
y = -1
Hence the solution (x, y) = (3, -1)
Answer:
$9.2 each toy
Step-by-step explanation:
You need to divide: 46/5=9.2
2 x 10⁻²
I place ⁻² as the negative powers of ten because I counted two places from the original position of the decimal to the number 2. The direction from the decimal is going to the right.
The negative or positive powers of ten determined by the direction of the decimal point. If it moves to the right then it is negative. If it move to the left then it is positive.
For example. 2000 in scientific notation.
The decimal point is located after the 3rd zero. According to the rule of scientific notation, only one digit must remain before the decimal point, Thus, 2000 is 2.000
The decimal point moved three place to the left from its original position. So its power of ten is positive three.
2000 = 2 x 10³
