Final answer:
To solve the system of equations algebraically, we can use the elimination method. Multiply the first equation by a suitable number to eliminate y, then subtract the second equation to obtain a new equation with only x and y. Solve the new equation to find the values of x and y.
Step-by-step explanation:
To solve the given system of equations by elimination, we aim to eliminate one variable by adding or subtracting the equations to create a new equation with only one variable. In this case, let's eliminate the y variable.
Multiplying both sides of the first equation by 5, we get: 10x + 5y = -30
Now, we can subtract the second equation from this new equation:
(10x + 5y) - (3x - 5y) = -30 - (-35)
Simplifying, we have: 7x + 10y = 5
Now we have a new equation with only x and y, so we can solve it using any appropriate method, such as substitution or graphing.
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