2x + 3y = 3
-10x + 2y = -32
Solve using the substitution method.
Solve for x in the first equation.
2x + 3y = 3
Subtract 3y from both sides.
2x = 3 - 3y
Divide both sides by 2.
x = 
- y
Plug x into the second equation.
-10( - y) + 2y = -32
Distribute -10 inside the parentheses.
-15 + 15y + 2y = -32
Combine like terms.
-15 + 17y = -32
Add 15 to both sides.
17y = -17
Divide both sides by 17.
y = -1
Plug y into the first equation.
2x + 3(-1) = 3
Multiply 3 by -1.
2x - 3 = 3
Add 3 to both sides.
2x = 6
Divide both sides by 2.
x = 3
x = 3;
y = -1
Answer:
C. -262.44
Step-by-step explanation:
-3.24, 9.72,-29.16, 87.48
-3.24*-3= 9.72, 9.72*-3= -29.16, -29.16*-3= 87.48
the rule for this sequence is multiplying by -3
87.48*-3= -262.44
Step-by-step explanation:
We know that
- Area of the rectangle=Length×Breadth
➝(x+4)(x-9)=68
➝x(x-9)+4(x-9)=68
➝x^2-9x+4x+-32=68
➝x^2-5x-32=68
➝x^2-5x=68+32
➝x^2-5x=100
➝x^2-5x-100=0
- The equation has no real roots hence this situation can't be possible
Hence, the correct answer is: C) (x - 6)^2 = 45
Further explanation:
Given equation is:
We will move the constant term on other side of the equation
To complete the square, we will take the coefficient of x and divide it by 2, as we already know that one term is x.
So, adding (6)^2 on both sides
Hence, the correct answer is: C) (x - 6)^2 = 45
Keywords: Quadratic Equation, Solution of equation
Learn more about quadratic equation at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
350=12(x+20)
(divide both sides by 12)
29.1667=x+20
(subtract 20 from both sides)
x=9.16667
X (9.17) is the additional amount of money the student must save each month in order to reach his goal.
