Instructions: Solve each system by substitution. Make sure to check your answer BEFORE submitting. State your answer as an ordered pair. DO NOT include spaces in your answer.System 1−2x−3y=−2−2𝑥−3𝑦=−2 y=2x+14𝑦=2𝑥+14(( ,, ))System 2−3x−3y=9−3𝑥−3𝑦=9 y=4𝑦=4(( ,, )
Question
Instructions: Solve each system by substitution. Make sure to check your answer BEFORE submitting. State your answer as an ordered pair. DO NOT include spaces in your answer.System 1−2x−3y=−2−2𝑥−3𝑦=−2 y=2x+14𝑦=2𝑥+14(( ,, ))System 2−3x−3y=9−3𝑥−3𝑦=9 y=4𝑦=4(( ,, )
Solution
System 1:
Given equations are: -2x - 3y = -2 y = 2x + 14
Step 1: Substitute y from the second equation into the first equation: -2x - 3(2x + 14) = -2 -2x - 6x - 42 = -2 -8x = 40 x = -5
Step 2: Substitute x = -5 into the second equation to find y: y = 2(-5) + 14 y = -10 + 14 y = 4
So, the solution to the system is (-5,4).
System 2:
Given equations are: -3x - 3y = 9 y = 4
Step 1: Substitute y = 4 into the first equation: -3x - 3(4) = 9 -3x - 12 = 9 -3x = 21 x = -7
So, the solution to the system is (-7,4).
Similar Questions
Instructions: Solve each system by substitution. Make sure to check your answer BEFORE submitting. State your answer as an ordered pair. DO NOT include spaces in your answer.System 1y=−5x+13𝑦=−5𝑥+13y=−2x+7𝑦=−2𝑥+7(( ,, ))System 2y=−4x−12𝑦=−4𝑥−12y=7x+21𝑦=7𝑥+21(( ,, )
Solve the system by substitution.minus, 2, x, minus, 3, y, equals, 9−2x−3y=9minus, x, equals, y−x=y
Solve the system of equations using the substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.y=7x−9𝑦=7𝑥−9y=−2x+9𝑦=−2𝑥+9Solution:
What would your first step look like if you were solving this system using the substitution method? DO NOT include spaces in your answer.y=6x−18𝑦=6𝑥−18y=−2x−2𝑦=−2𝑥−2Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.System: == Solution: CheckQuestion 2
What would your first step look like if you were solving this system using the substitution method? DO NOT include spaces in your answer.y=6x+10𝑦=6𝑥+10 −2x+3y=−18−2𝑥+3𝑦=−18 == Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.(( ,, )
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.