Answer:
infinite number of solutions
Step-by-step explanation:
Given
5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify
5x - 5 + 2 = 5x - 3, that is
5x - 3 = 5x - 3
Since both sides are equal then there are an infinite number of solutions to the equation.
To determine which system of equations would have the same solution, we evaluate each system of equations.
System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11
<span>System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7
System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17
System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7
</span><span>
Therefore, the correct answer is option 3. </span><span>System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.
4x− 5y = 2 2( 3x − 2y = 1)
----------------------- 10x - 9y = 4</span>
Answer:
D. x-intercept is -5 and the y-intercept is -2