You solve this system using elimination Multiply the first equation by 2 and the second equation by 5, then subtract.
What is the elimination method?
The elimination method is one of the techniques to solve the system of linear equations.
In this method, either add or subtract the equations to get the equation in one variable.
The given system of equations;
[tex]\rm -2x+5y=-15 \\\\5x+2y=-6[/tex]
Multiply the first equation by 2 and the second equation by 5, then subtract.
[tex]\rm (-2x+5y=-15 ) \times 2\\\\ (5x+2y=-6) \times 5\\\\-4x+10y=-30 \\\\25x+10y=-30[/tex]
On subtracting the equations;
[tex]\rm -4x+10y-25x-10y=-30-(-30) \\\\ -29x = 0\\\\x=0[/tex]
Hence, you solve this system using elimination Multiply the first equation by 2 and the second equation by 5, then subtract.
learn more about the elimination method here;
https://brainly.com/question/12895249
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