Answer:
<h2>
3x + 5y = 12 </h2>
Step-by-step explanation:
3x + 5y = 7 {subtract 3x from both sides}
5y = -3x + 7 {divide both sides by 5}
y = -³/₅x + ⁷/₅ ← slope-intercept form
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = -³/₅x + ⁷/₅ ⇒ m₁ = -³/₅ ⇒ m₂ = -³/₅
(-1, 3) ⇒ x₁ = -1, y₁ = 3
The point-slope form:
y - 3 = -³/₅(x - (-1))
y - 3 = -³/₅(x + 1) {myltiply both sides by 5}
5y - 15 = -3x - 3 {add 3x to both sides}
3x + 5y - 15 = - 3 {add 15 to both sides}
<u>3x + 5y = 12</u>
The solution of the system of equations:
( -16.7, 19.28)
<h3>
How to solve the system of equations?</h3>
Here we have the system:
4x+3y=9
3x +4y = 36
First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:
x = 36/3 - (4/3)y = 9 - (4/3)y
Now we can replace this in the other equation:
4*(9 - (4/3)y) + 3y = 9
36 - (16/3)y + (9/3)y = 9
- (7/3)y = -36 - 9 = -45
y = (3/7)*45 = 19.28
To get the value of x, we get:
x = 9 - (4/3)*19.28 = -16.7
Then the solution of the system is ( -16.7, 19.28)
If you want to learn about systems of equations:
brainly.com/question/13729904
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I think its -4/3 hope this helped
