Answer:
(2,-3)
Step-by-step explanation:
I am not sure if you meant the first equation to be y or -y. I solved it as y.
y = x-5 -x -3y =7
I am going to take the second equation and write it as x =
-x - 3y = 7 Give equation
-x = 3y +7 Add 3y to both sides
x = -3y-7 Multiplied each term in the equation by -1 so that x could be positive
I am going to substitute -3y-7 for x in the first equation up above
y = x - 5
y = -3y -7 - 5 Substitute -3y-7 for x
y = -3y -12 Combined -7-5
4y = -12 Added 3y to both sides
y = -3 Divided both sides by 4.
I now know that y is -3, I will plug that into x = -3y-7 to solve for x
x = -3(-3) -7
x = 9-7 A negative times a negative is a positive
x = 2
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 23°
Opposite Leg = <em>x</em>
Hypotenuse = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [sine]:

- [Multiplication Property of Equality] Isolate <em>x</em>:

- Rewrite:

- Evaluate:

- Round:

By solving a system of equations, we will see that now there are 3.5kg of grapes on the basket.
<h3>How many kilograms of grapes are in the basket now?</h3>
Let's define the variables:
- x = kg of grapes on the box originally.
- y = kg of grapes on the basket originally.
We know that:
x = 2y
When we add 2kg to the basket, it has 0.5k more than the box, then:
y + 2 = x + 0.5
Then we have a system of equations:
x = 2y
y + 2 = x + 0.5
We want to solve this for y, then we can replace the first equation into the second one:
y + 2 = (x = 2y) + 0.5
y + 2 = 2y + 0.5
2 - 0.5 = 2y - y
1.5 = y
This means that, originally, there are 1.5 kg of grapes on the basket. And then we added 2kg, so now there are:
1.5kg + 2kg = 3.5kg
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
3y + 2x =1
3y = - 2x + 1
y = - 2/3x + 1/3
slope : - 2/3