The solution to the given system of equation is (7,-3).
<h3>What is the solution to the given system of equation?</h3>
Given the equations in the question;
2x + 7y = -7 ----- equ 1
-4x - 3y = - 19 ---- equ 2
First, we solve for x in equation 1
2x = -7y - 7
x = -7y/2 - 7/2
Next, replace all occurrence of x with -7y/2 - 7/2 in equation 2
-4x - 3y = - 19
-4(-7y/2 - 7/2) - 3y = - 19
14y + 14 - 3y = -19
14y - 3y = -19 - 14
11y = -33
y = -33/11
y = -3
Plug y = -3 into equation 1 and solve for x
2x + 7y = -7
2x + 7(-3) = -7
2x - 21 = -7
2x = -7 + 21
2x = 14
x = 14/2
x = 7
Therefore, the solution to the given system of equation is (7,-3).
Learn more about simultaneous equation here: brainly.com/question/16763389
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