<span>x + 2y = 2
-x + 3y = 13
As the x-terms of these equations are already opposites, you can begin to solve by elimination by adding the equations together.
</span> x + 2y = 2
-x + 3y = 13
+___________
0 + 5y = 15
y = 3
Now that you have y, substitute its value, 3, into either equation to find x.
x + 2y = 2
x + 2(3) = 2
x + 6 = 2
x = -4
Lastly, check all work by substituting both x- and y-values into both original equations.
x + 2y = 2
-4 + 2(3) = 2
-4 + 6 = 2
2 = 2
-x + 3y = 13
-(-4) + 3(3) = 13
4 + 3(3) = 13
4 + 9 = 13
13 = 13
Answer:
x = -4
y = 3
(-4, 3)
Answer:
120 ml oil
150g onions
1.2 kg potatoes
1.5 litres milk
Step-by-step explanation:
The revipe serves 4 people, but Richard wants to serve 12 people. This is 3x the number of people intended.
So, multiply all the fiven ingredients by 3 as well.
Oil = 40ml x 3 = 120ml
Onions = 50g x 3 = 150g
Potatoes = 400g x 3 = 1200g = 1.2 kg
Milk = 500ml x 3 = 1500ml = 1.5 litres
Hope this helps
Answer:
Step-by-step explanation:
Area of the Rectangle: 17 *22=374
Area of a triangle:
- We know that one side is 19cm
- For the other side, the length is 22cm minus the 10cm, which gets us 12 cm
- The area of Triangle is (1/2)*19*12=114
Total Area: area of rectangle + area of triangle = 114+374=488
I hope that helps!
Answer:
Step-by-step explanation:
Part A:
3x^2 -2x -1 + 9x + 2x^2-3 = 5x^2 + 7x -4
Part B
5x^3 + 4x^2 -x-3 -(5x^2 +7x-4) = 5x^3 -x^2-8x+1
Part C:
They do show polynomials are closed for addition and subtraction because both resulted in another polynomial
Answer:
M
Step-by-step explanation:
The table of x, y values for a proportional relationship show that y is 0 when x is 0. This applies to the second table (M).