To find the value of [tex]\( x \)[/tex] when [tex]\( y = -3 \)[/tex] given the equations:
[tex]\[ x + 5y = 1 \][/tex]
[tex]\[ 5x - 7y = 4 \][/tex]
we can proceed with the following steps:
1. Substitute [tex]\( y = -3 \)[/tex] into the first equation [tex]\( x + 5y = 1 \)[/tex].
[tex]\[ x + 5(-3) = 1 \][/tex]
2. Simplify the equation:
[tex]\[ x - 15 = 1 \][/tex]
3. Solve for [tex]\( x \)[/tex]:
[tex]\[ x = 1 + 15 \][/tex]
[tex]\[ x = 16 \][/tex]
Therefore, the value of [tex]\( x \)[/tex] when [tex]\( y = -3 \)[/tex] is [tex]\( 16 \)[/tex].
