What is the solution to the system of equations?y=5x+2𝑦=5𝑥+23x=−y+103𝑥=−𝑦+10Responses(7, 1)7 comma 1(1, 7)1 comma 7(−18,−4)negative 18 comma negative 4(−4,−18)
Question
What is the solution to the system of equations?
Responses:
- (7, 1)
- (1, 7)
Solution
The system of equations is:
- y = 5x + 2
- 3x = -y + 10
To find the solution, we can substitute equation 1 into equation 2:
3x = -(5x + 2) + 10 3x = -5x - 2 + 10 3x = -5x + 8 8x = 8 x = 1
Substitute x = 1 into equation 1:
y = 5(1) + 2 y = 5 + 2 y = 7
So, the solution to the system of equations is (1, 7).
Similar Questions
What is the solution to the system of equations?y=5x+2𝑦=5𝑥+23x=−y+103𝑥=−𝑦+10Responses(7, 1)7 comma 1(1, 7)1 comma 7(−18,−4)negative 18 comma negative 4(−4,−18)
Find the solution of the system of equations.4, x, plus, 7, y, equals, minus, 234x+7y=−238, x, plus, 5, y, equals, minus, 18x+5y=−1
{x−y=72x+y=-1{𝑥-𝑦=72𝑥+𝑦=-1Which is the solution to the system of equations shown? x=-1,y=-7𝑥=-1,𝑦=-7 x=-2,y=5𝑥=-2,𝑦=5 x=-5,y=2𝑥=-5,𝑦=2 x=2,y=-5𝑥=2,𝑦=-5
Solve the system of equations.𝑦=5−2𝑥4𝑥+3𝑦=−13Group of answer choices(14,23)(−14,23)(14,−23)(−14,−23)
Solve the system by substitution.y, equals, minus, 7, xy=−7xy, equals, minus, 5, x, plus, 10y=−5x+10
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.